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Finding the Fourth Proportional to 31,501.98, 43,471.35 and 17,354.70

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Solution

The fourth proportional to 31,501.98, 43,471.35 and 17,354.70 is: 23,948.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,501.98 : 43,471.35 = 17,354.70 : x
  2. Step 2: Convert to fraction form
    31,501.98/43,471.35 = 17,354.70/x
  3. Step 3: Cross multiply
    31,501.98x = 43,471.35 × 17,354.70
  4. Step 4: Simplify right side
    31,501.98x = 754,432,237.85
  5. Step 5: Solve for x
    x = 754,432,237.85/31,501.98
  6. Step 6: Final answer
    x = 23,948.72

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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.