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Finding the Fourth Proportional to 42,105.80, 58,105.14 and 24,200.34

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Solution

The fourth proportional to 42,105.80, 58,105.14 and 24,200.34 is: 33,395.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,105.80 : 58,105.14 = 24,200.34 : x
  2. Step 2: Convert to fraction form
    42,105.80/58,105.14 = 24,200.34/x
  3. Step 3: Cross multiply
    42,105.80x = 58,105.14 × 24,200.34
  4. Step 4: Simplify right side
    42,105.80x = 1,406,164,143.75
  5. Step 5: Solve for x
    x = 1,406,164,143.75/42,105.80
  6. Step 6: Final answer
    x = 33,395.97

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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.