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Finding the Fourth Proportional to 82,612.68, 123,824.16 and 37,585.68

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Solution

The fourth proportional to 82,612.68, 123,824.16 and 37,585.68 is: 56,335.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,612.68 : 123,824.16 = 37,585.68 : x
  2. Step 2: Convert to fraction form
    82,612.68/123,824.16 = 37,585.68/x
  3. Step 3: Cross multiply
    82,612.68x = 123,824.16 × 37,585.68
  4. Step 4: Simplify right side
    82,612.68x = 4,654,015,254.03
  5. Step 5: Solve for x
    x = 4,654,015,254.03/82,612.68
  6. Step 6: Final answer
    x = 56,335.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.