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Finding the Fourth Proportional to 32,965.47, 49,456.40 and 9,591.91

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Solution

The fourth proportional to 32,965.47, 49,456.40 and 9,591.91 is: 14,390.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,965.47 : 49,456.40 = 9,591.91 : x
  2. Step 2: Convert to fraction form
    32,965.47/49,456.40 = 9,591.91/x
  3. Step 3: Cross multiply
    32,965.47x = 49,456.40 × 9,591.91
  4. Step 4: Simplify right side
    32,965.47x = 474,381,337.72
  5. Step 5: Solve for x
    x = 474,381,337.72/32,965.47
  6. Step 6: Final answer
    x = 14,390.25

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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.