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Finding the Fourth Proportional to 51,981.47, 71,734.47 and 28,108.16

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Solution

The fourth proportional to 51,981.47, 71,734.47 and 28,108.16 is: 38,789.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,981.47 : 71,734.47 = 28,108.16 : x
  2. Step 2: Convert to fraction form
    51,981.47/71,734.47 = 28,108.16/x
  3. Step 3: Cross multiply
    51,981.47x = 71,734.47 × 28,108.16
  4. Step 4: Simplify right side
    51,981.47x = 2,016,323,960.28
  5. Step 5: Solve for x
    x = 2,016,323,960.28/51,981.47
  6. Step 6: Final answer
    x = 38,789.28

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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.