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Finding the Fourth Proportional to 54,737.50, 82,136.99 and 29,779.29

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Solution

The fourth proportional to 54,737.50, 82,136.99 and 29,779.29 is: 44,685.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,737.50 : 82,136.99 = 29,779.29 : x
  2. Step 2: Convert to fraction form
    54,737.50/82,136.99 = 29,779.29/x
  3. Step 3: Cross multiply
    54,737.50x = 82,136.99 × 29,779.29
  4. Step 4: Simplify right side
    54,737.50x = 2,445,981,244.94
  5. Step 5: Solve for x
    x = 2,445,981,244.94/54,737.50
  6. Step 6: Final answer
    x = 44,685.66

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Why These Related Problems?

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