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Finding the Fourth Proportional to 31,362.60, 47,038.22 and 12,641.88

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Solution

The fourth proportional to 31,362.60, 47,038.22 and 12,641.88 is: 18,960.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,362.60 : 47,038.22 = 12,641.88 : x
  2. Step 2: Convert to fraction form
    31,362.60/47,038.22 = 12,641.88/x
  3. Step 3: Cross multiply
    31,362.60x = 47,038.22 × 12,641.88
  4. Step 4: Simplify right side
    31,362.60x = 594,651,532.65
  5. Step 5: Solve for x
    x = 594,651,532.65/31,362.60
  6. Step 6: Final answer
    x = 18,960.53

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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.