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Finding the Fourth Proportional to 31,343.30, 47,021.88 and 9,158.60

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Solution

The fourth proportional to 31,343.30, 47,021.88 and 9,158.60 is: 13,739.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,343.30 : 47,021.88 = 9,158.60 : x
  2. Step 2: Convert to fraction form
    31,343.30/47,021.88 = 9,158.60/x
  3. Step 3: Cross multiply
    31,343.30x = 47,021.88 × 9,158.60
  4. Step 4: Simplify right side
    31,343.30x = 430,654,590.17
  5. Step 5: Solve for x
    x = 430,654,590.17/31,343.30
  6. Step 6: Final answer
    x = 13,739.92

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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.