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Finding the Fourth Proportional to 91,752.53, 137,642.49 and 32,583.24

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Solution

The fourth proportional to 91,752.53, 137,642.49 and 32,583.24 is: 48,879.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,752.53 : 137,642.49 = 32,583.24 : x
  2. Step 2: Convert to fraction form
    91,752.53/137,642.49 = 32,583.24/x
  3. Step 3: Cross multiply
    91,752.53x = 137,642.49 × 32,583.24
  4. Step 4: Simplify right side
    91,752.53x = 4,484,838,285.87
  5. Step 5: Solve for x
    x = 4,484,838,285.87/91,752.53
  6. Step 6: Final answer
    x = 48,879.73

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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.