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Finding the Fourth Proportional to 31,624.66, 47,432.40 and 9,437.14

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Solution

The fourth proportional to 31,624.66, 47,432.40 and 9,437.14 is: 14,154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,624.66 : 47,432.40 = 9,437.14 : x
  2. Step 2: Convert to fraction form
    31,624.66/47,432.40 = 9,437.14/x
  3. Step 3: Cross multiply
    31,624.66x = 47,432.40 × 9,437.14
  4. Step 4: Simplify right side
    31,624.66x = 447,626,199.34
  5. Step 5: Solve for x
    x = 447,626,199.34/31,624.66
  6. Step 6: Final answer
    x = 14,154.34

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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.