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Finding the Fourth Proportional to 42,342, 63,725.70 and 31,866.30

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Solution

The fourth proportional to 42,342, 63,725.70 and 31,866.30 is: 47,959.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,342 : 63,725.70 = 31,866.30 : x
  2. Step 2: Convert to fraction form
    42,342/63,725.70 = 31,866.30/x
  3. Step 3: Cross multiply
    42,342x = 63,725.70 × 31,866.30
  4. Step 4: Simplify right side
    42,342x = 2,030,702,273.91
  5. Step 5: Solve for x
    x = 2,030,702,273.91/42,342
  6. Step 6: Final answer
    x = 47,959.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.