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Finding the Fourth Proportional to 31,563.90, 47,353.26 and 9,377.46

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Solution

The fourth proportional to 31,563.90, 47,353.26 and 9,377.46 is: 14,068.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,563.90 : 47,353.26 = 9,377.46 : x
  2. Step 2: Convert to fraction form
    31,563.90/47,353.26 = 9,377.46/x
  3. Step 3: Cross multiply
    31,563.90x = 47,353.26 × 9,377.46
  4. Step 4: Simplify right side
    31,563.90x = 444,053,301.52
  5. Step 5: Solve for x
    x = 444,053,301.52/31,563.90
  6. Step 6: Final answer
    x = 14,068.39

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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.