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Finding the Fourth Proportional to 27,970.07, 41,945.10 and 9,246.65

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Solution

The fourth proportional to 27,970.07, 41,945.10 and 9,246.65 is: 13,866.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,970.07 : 41,945.10 = 9,246.65 : x
  2. Step 2: Convert to fraction form
    27,970.07/41,945.10 = 9,246.65/x
  3. Step 3: Cross multiply
    27,970.07x = 41,945.10 × 9,246.65
  4. Step 4: Simplify right side
    27,970.07x = 387,851,449.19
  5. Step 5: Solve for x
    x = 387,851,449.19/27,970.07
  6. Step 6: Final answer
    x = 13,866.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.