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Finding the Fourth Proportional to 42,305.28, 58,382.28 and 23,442

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Solution

The fourth proportional to 42,305.28, 58,382.28 and 23,442 is: 32,350.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,305.28 : 58,382.28 = 23,442 : x
  2. Step 2: Convert to fraction form
    42,305.28/58,382.28 = 23,442/x
  3. Step 3: Cross multiply
    42,305.28x = 58,382.28 × 23,442
  4. Step 4: Simplify right side
    42,305.28x = 1,368,597,407.76
  5. Step 5: Solve for x
    x = 1,368,597,407.76/42,305.28
  6. Step 6: Final answer
    x = 32,350.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.