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Finding the Fourth Proportional to 42,194.52, 58,221.59 and 23,328

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Solution

The fourth proportional to 42,194.52, 58,221.59 and 23,328 is: 32,188.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,194.52 : 58,221.59 = 23,328 : x
  2. Step 2: Convert to fraction form
    42,194.52/58,221.59 = 23,328/x
  3. Step 3: Cross multiply
    42,194.52x = 58,221.59 × 23,328
  4. Step 4: Simplify right side
    42,194.52x = 1,358,193,134.88
  5. Step 5: Solve for x
    x = 1,358,193,134.88/42,194.52
  6. Step 6: Final answer
    x = 32,188.85

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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.