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Finding the Fourth Proportional to 31,624.74, 47,439.36 and 9,436.32

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Solution

The fourth proportional to 31,624.74, 47,439.36 and 9,436.32 is: 14,155.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,624.74 : 47,439.36 = 9,436.32 : x
  2. Step 2: Convert to fraction form
    31,624.74/47,439.36 = 9,436.32/x
  3. Step 3: Cross multiply
    31,624.74x = 47,439.36 × 9,436.32
  4. Step 4: Simplify right side
    31,624.74x = 447,652,981.56
  5. Step 5: Solve for x
    x = 447,652,981.56/31,624.74
  6. Step 6: Final answer
    x = 14,155.15

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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.