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Finding the Fourth Proportional to 27,661,567.65, 38,782,881.75 and 27,661,567.65

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Solution

The fourth proportional to 27,661,567.65, 38,782,881.75 and 27,661,567.65 is: 38,782,881.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,661,567.65 : 38,782,881.75 = 27,661,567.65 : x
  2. Step 2: Convert to fraction form
    27,661,567.65/38,782,881.75 = 27,661,567.65/x
  3. Step 3: Cross multiply
    27,661,567.65x = 38,782,881.75 × 27,661,567.65
  4. Step 4: Simplify right side
    27,661,567.65x = 1,072,795,307,189,575.38
  5. Step 5: Solve for x
    x = 1,072,795,307,189,575.38/27,661,567.65
  6. Step 6: Final answer
    x = 38,782,881.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.