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Finding the Fourth Proportional to 42,200.52, 58,229.88 and 23,334

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Solution

The fourth proportional to 42,200.52, 58,229.88 and 23,334 is: 32,197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,200.52 : 58,229.88 = 23,334 : x
  2. Step 2: Convert to fraction form
    42,200.52/58,229.88 = 23,334/x
  3. Step 3: Cross multiply
    42,200.52x = 58,229.88 × 23,334
  4. Step 4: Simplify right side
    42,200.52x = 1,358,736,019.92
  5. Step 5: Solve for x
    x = 1,358,736,019.92/42,200.52
  6. Step 6: Final answer
    x = 32,197.14

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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.