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Finding the Fourth Proportional to 85,033, 127,567.74 and 25,873.48

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Solution

The fourth proportional to 85,033, 127,567.74 and 25,873.48 is: 38,815.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,033 : 127,567.74 = 25,873.48 : x
  2. Step 2: Convert to fraction form
    85,033/127,567.74 = 25,873.48/x
  3. Step 3: Cross multiply
    85,033x = 127,567.74 × 25,873.48
  4. Step 4: Simplify right side
    85,033x = 3,300,621,369.54
  5. Step 5: Solve for x
    x = 3,300,621,369.54/85,033
  6. Step 6: Final answer
    x = 38,815.77

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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.