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Finding the Fourth Proportional to 42,195, 58,229.12 and 23,332

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Solution

The fourth proportional to 42,195, 58,229.12 and 23,332 is: 32,198.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,195 : 58,229.12 = 23,332 : x
  2. Step 2: Convert to fraction form
    42,195/58,229.12 = 23,332/x
  3. Step 3: Cross multiply
    42,195x = 58,229.12 × 23,332
  4. Step 4: Simplify right side
    42,195x = 1,358,601,827.84
  5. Step 5: Solve for x
    x = 1,358,601,827.84/42,195
  6. Step 6: Final answer
    x = 32,198.17

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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.