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Finding the Fourth Proportional to 31,738.92, 47,610.80 and 8,365

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Solution

The fourth proportional to 31,738.92, 47,610.80 and 8,365 is: 12,548.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,738.92 : 47,610.80 = 8,365 : x
  2. Step 2: Convert to fraction form
    31,738.92/47,610.80 = 8,365/x
  3. Step 3: Cross multiply
    31,738.92x = 47,610.80 × 8,365
  4. Step 4: Simplify right side
    31,738.92x = 398,264,342
  5. Step 5: Solve for x
    x = 398,264,342/31,738.92
  6. Step 6: Final answer
    x = 12,548.14

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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.