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Finding the Fourth Proportional to 42,505.62, 58,657.78 and 23,642.34

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Solution

The fourth proportional to 42,505.62, 58,657.78 and 23,642.34 is: 32,626.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,505.62 : 58,657.78 = 23,642.34 : x
  2. Step 2: Convert to fraction form
    42,505.62/58,657.78 = 23,642.34/x
  3. Step 3: Cross multiply
    42,505.62x = 58,657.78 × 23,642.34
  4. Step 4: Simplify right side
    42,505.62x = 1,386,807,178.41
  5. Step 5: Solve for x
    x = 1,386,807,178.41/42,505.62
  6. Step 6: Final answer
    x = 32,626.44

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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.