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Finding the Fourth Proportional to 42,295.80, 58,371.24 and 23,434.20

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Solution

The fourth proportional to 42,295.80, 58,371.24 and 23,434.20 is: 32,340.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,295.80 : 58,371.24 = 23,434.20 : x
  2. Step 2: Convert to fraction form
    42,295.80/58,371.24 = 23,434.20/x
  3. Step 3: Cross multiply
    42,295.80x = 58,371.24 × 23,434.20
  4. Step 4: Simplify right side
    42,295.80x = 1,367,883,312.41
  5. Step 5: Solve for x
    x = 1,367,883,312.41/42,295.80
  6. Step 6: Final answer
    x = 32,340.88

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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.