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Finding the Fourth Proportional to 48,585.12, 72,713.06 and 29,877

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Solution

The fourth proportional to 48,585.12, 72,713.06 and 29,877 is: 44,714.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,585.12 : 72,713.06 = 29,877 : x
  2. Step 2: Convert to fraction form
    48,585.12/72,713.06 = 29,877/x
  3. Step 3: Cross multiply
    48,585.12x = 72,713.06 × 29,877
  4. Step 4: Simplify right side
    48,585.12x = 2,172,448,093.62
  5. Step 5: Solve for x
    x = 2,172,448,093.62/48,585.12
  6. Step 6: Final answer
    x = 44,714.27

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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.