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Finding the Fourth Proportional to 31,560.90, 47,348.76 and 9,374.46

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Solution

The fourth proportional to 31,560.90, 47,348.76 and 9,374.46 is: 14,063.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,560.90 : 47,348.76 = 9,374.46 : x
  2. Step 2: Convert to fraction form
    31,560.90/47,348.76 = 9,374.46/x
  3. Step 3: Cross multiply
    31,560.90x = 47,348.76 × 9,374.46
  4. Step 4: Simplify right side
    31,560.90x = 443,869,056.67
  5. Step 5: Solve for x
    x = 443,869,056.67/31,560.90
  6. Step 6: Final answer
    x = 14,063.89

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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.