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Finding the Fourth Proportional to 31,073.52, 46,568.56 and 15,254.40

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Solution

The fourth proportional to 31,073.52, 46,568.56 and 15,254.40 is: 22,861.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,073.52 : 46,568.56 = 15,254.40 : x
  2. Step 2: Convert to fraction form
    31,073.52/46,568.56 = 15,254.40/x
  3. Step 3: Cross multiply
    31,073.52x = 46,568.56 × 15,254.40
  4. Step 4: Simplify right side
    31,073.52x = 710,375,441.66
  5. Step 5: Solve for x
    x = 710,375,441.66/31,073.52
  6. Step 6: Final answer
    x = 22,861.12

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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.