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Finding the Fourth Proportional to 41,634.78, 57,386 and 31,560

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Solution

The fourth proportional to 41,634.78, 57,386 and 31,560 is: 43,499.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,634.78 : 57,386 = 31,560 : x
  2. Step 2: Convert to fraction form
    41,634.78/57,386 = 31,560/x
  3. Step 3: Cross multiply
    41,634.78x = 57,386 × 31,560
  4. Step 4: Simplify right side
    41,634.78x = 1,811,102,160
  5. Step 5: Solve for x
    x = 1,811,102,160/41,634.78
  6. Step 6: Final answer
    x = 43,499.74

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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.