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Finding the Fourth Proportional to 32,965.89, 49,456.94 and 9,592.53

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Solution

The fourth proportional to 32,965.89, 49,456.94 and 9,592.53 is: 14,391.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,965.89 : 49,456.94 = 9,592.53 : x
  2. Step 2: Convert to fraction form
    32,965.89/49,456.94 = 9,592.53/x
  3. Step 3: Cross multiply
    32,965.89x = 49,456.94 × 9,592.53
  4. Step 4: Simplify right side
    32,965.89x = 474,417,132.70
  5. Step 5: Solve for x
    x = 474,417,132.70/32,965.89
  6. Step 6: Final answer
    x = 14,391.15

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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.