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Finding the Fourth Proportional to 31,935.35, 47,909.97 and 9,748.11

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Solution

The fourth proportional to 31,935.35, 47,909.97 and 9,748.11 is: 14,624.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,935.35 : 47,909.97 = 9,748.11 : x
  2. Step 2: Convert to fraction form
    31,935.35/47,909.97 = 9,748.11/x
  3. Step 3: Cross multiply
    31,935.35x = 47,909.97 × 9,748.11
  4. Step 4: Simplify right side
    31,935.35x = 467,031,657.66
  5. Step 5: Solve for x
    x = 467,031,657.66/31,935.35
  6. Step 6: Final answer
    x = 14,624.29

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