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Finding the Fourth Proportional to 42,277.70, 58,342.50 and 23,414.42

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Solution

The fourth proportional to 42,277.70, 58,342.50 and 23,414.42 is: 32,311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,277.70 : 58,342.50 = 23,414.42 : x
  2. Step 2: Convert to fraction form
    42,277.70/58,342.50 = 23,414.42/x
  3. Step 3: Cross multiply
    42,277.70x = 58,342.50 × 23,414.42
  4. Step 4: Simplify right side
    42,277.70x = 1,366,055,798.85
  5. Step 5: Solve for x
    x = 1,366,055,798.85/42,277.70
  6. Step 6: Final answer
    x = 32,311.50

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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.