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Finding the Fourth Proportional to 47,331, 65,309.76 and 27,188.76

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Solution

The fourth proportional to 47,331, 65,309.76 and 27,188.76 is: 37,516.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,331 : 65,309.76 = 27,188.76 : x
  2. Step 2: Convert to fraction form
    47,331/65,309.76 = 27,188.76/x
  3. Step 3: Cross multiply
    47,331x = 65,309.76 × 27,188.76
  4. Step 4: Simplify right side
    47,331x = 1,775,691,390.30
  5. Step 5: Solve for x
    x = 1,775,691,390.30/47,331
  6. Step 6: Final answer
    x = 37,516.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.