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Finding the Fourth Proportional to 52,128.16, 71,936.95 and 28,254.76

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Solution

The fourth proportional to 52,128.16, 71,936.95 and 28,254.76 is: 38,991.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,128.16 : 71,936.95 = 28,254.76 : x
  2. Step 2: Convert to fraction form
    52,128.16/71,936.95 = 28,254.76/x
  3. Step 3: Cross multiply
    52,128.16x = 71,936.95 × 28,254.76
  4. Step 4: Simplify right side
    52,128.16x = 2,032,561,257.38
  5. Step 5: Solve for x
    x = 2,032,561,257.38/52,128.16
  6. Step 6: Final answer
    x = 38,991.62

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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.