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Finding the Fourth Proportional to 52,127.16, 71,935.57 and 28,253.76

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Solution

The fourth proportional to 52,127.16, 71,935.57 and 28,253.76 is: 38,990.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,127.16 : 71,935.57 = 28,253.76 : x
  2. Step 2: Convert to fraction form
    52,127.16/71,935.57 = 28,253.76/x
  3. Step 3: Cross multiply
    52,127.16x = 71,935.57 × 28,253.76
  4. Step 4: Simplify right side
    52,127.16x = 2,032,450,330.24
  5. Step 5: Solve for x
    x = 2,032,450,330.24/52,127.16
  6. Step 6: Final answer
    x = 38,990.24

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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.