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Finding the Fourth Proportional to 74,875.62, 112,275.87 and 24,938.16

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Solution

The fourth proportional to 74,875.62, 112,275.87 and 24,938.16 is: 37,394.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,875.62 : 112,275.87 = 24,938.16 : x
  2. Step 2: Convert to fraction form
    74,875.62/112,275.87 = 24,938.16/x
  3. Step 3: Cross multiply
    74,875.62x = 112,275.87 × 24,938.16
  4. Step 4: Simplify right side
    74,875.62x = 2,799,953,610.20
  5. Step 5: Solve for x
    x = 2,799,953,610.20/74,875.62
  6. Step 6: Final answer
    x = 37,394.73

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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.