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Finding the Fourth Proportional to 52,129.52, 71,938.84 and 28,256.12

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Solution

The fourth proportional to 52,129.52, 71,938.84 and 28,256.12 is: 38,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,129.52 : 71,938.84 = 28,256.12 : x
  2. Step 2: Convert to fraction form
    52,129.52/71,938.84 = 28,256.12/x
  3. Step 3: Cross multiply
    52,129.52x = 71,938.84 × 28,256.12
  4. Step 4: Simplify right side
    52,129.52x = 2,032,712,495.70
  5. Step 5: Solve for x
    x = 2,032,712,495.70/52,129.52
  6. Step 6: Final answer
    x = 38,993.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.