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Finding the Fourth Proportional to 52,687.68, 72,780 and 42,152.64

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Solution

The fourth proportional to 52,687.68, 72,780 and 42,152.64 is: 58,227.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,687.68 : 72,780 = 42,152.64 : x
  2. Step 2: Convert to fraction form
    52,687.68/72,780 = 42,152.64/x
  3. Step 3: Cross multiply
    52,687.68x = 72,780 × 42,152.64
  4. Step 4: Simplify right side
    52,687.68x = 3,067,869,139.20
  5. Step 5: Solve for x
    x = 3,067,869,139.20/52,687.68
  6. Step 6: Final answer
    x = 58,227.45

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