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Finding the Fourth Proportional to 42,400.32, 58,512.96 and 23,539.20

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Solution

The fourth proportional to 42,400.32, 58,512.96 and 23,539.20 is: 32,484.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,400.32 : 58,512.96 = 23,539.20 : x
  2. Step 2: Convert to fraction form
    42,400.32/58,512.96 = 23,539.20/x
  3. Step 3: Cross multiply
    42,400.32x = 58,512.96 × 23,539.20
  4. Step 4: Simplify right side
    42,400.32x = 1,377,348,268.03
  5. Step 5: Solve for x
    x = 1,377,348,268.03/42,400.32
  6. Step 6: Final answer
    x = 32,484.38

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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.