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Finding the Fourth Proportional to 32,462.59, 48,693.89 and 29,585.47

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Solution

The fourth proportional to 32,462.59, 48,693.89 and 29,585.47 is: 44,378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,462.59 : 48,693.89 = 29,585.47 : x
  2. Step 2: Convert to fraction form
    32,462.59/48,693.89 = 29,585.47/x
  3. Step 3: Cross multiply
    32,462.59x = 48,693.89 × 29,585.47
  4. Step 4: Simplify right side
    32,462.59x = 1,440,631,621.78
  5. Step 5: Solve for x
    x = 1,440,631,621.78/32,462.59
  6. Step 6: Final answer
    x = 44,378.21

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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.