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Finding the Fourth Proportional to 31,043.58, 42,838.80 and 17,614.54

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Solution

The fourth proportional to 31,043.58, 42,838.80 and 17,614.54 is: 24,307.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,043.58 : 42,838.80 = 17,614.54 : x
  2. Step 2: Convert to fraction form
    31,043.58/42,838.80 = 17,614.54/x
  3. Step 3: Cross multiply
    31,043.58x = 42,838.80 × 17,614.54
  4. Step 4: Simplify right side
    31,043.58x = 754,585,672.70
  5. Step 5: Solve for x
    x = 754,585,672.70/31,043.58
  6. Step 6: Final answer
    x = 24,307.30

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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.