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Finding the Fourth Proportional to 42,685.83, 58,909.02 and 23,824.17

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Solution

The fourth proportional to 42,685.83, 58,909.02 and 23,824.17 is: 32,878.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,685.83 : 58,909.02 = 23,824.17 : x
  2. Step 2: Convert to fraction form
    42,685.83/58,909.02 = 23,824.17/x
  3. Step 3: Cross multiply
    42,685.83x = 58,909.02 × 23,824.17
  4. Step 4: Simplify right side
    42,685.83x = 1,403,458,507.01
  5. Step 5: Solve for x
    x = 1,403,458,507.01/42,685.83
  6. Step 6: Final answer
    x = 32,878.79

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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.