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Finding the Fourth Proportional to 52,162.68, 71,988.16 and 29,501.84

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Solution

The fourth proportional to 52,162.68, 71,988.16 and 29,501.84 is: 40,714.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,162.68 : 71,988.16 = 29,501.84 : x
  2. Step 2: Convert to fraction form
    52,162.68/71,988.16 = 29,501.84/x
  3. Step 3: Cross multiply
    52,162.68x = 71,988.16 × 29,501.84
  4. Step 4: Simplify right side
    52,162.68x = 2,123,783,178.21
  5. Step 5: Solve for x
    x = 2,123,783,178.21/52,162.68
  6. Step 6: Final answer
    x = 40,714.61

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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.