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Finding the Fourth Proportional to 31,703.70, 47,557.13 and 26,146.80

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Solution

The fourth proportional to 31,703.70, 47,557.13 and 26,146.80 is: 39,221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,703.70 : 47,557.13 = 26,146.80 : x
  2. Step 2: Convert to fraction form
    31,703.70/47,557.13 = 26,146.80/x
  3. Step 3: Cross multiply
    31,703.70x = 47,557.13 × 26,146.80
  4. Step 4: Simplify right side
    31,703.70x = 1,243,466,635.95
  5. Step 5: Solve for x
    x = 1,243,466,635.95/31,703.70
  6. Step 6: Final answer
    x = 39,221.49

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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.