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Finding the Fourth Proportional to 42,902.69, 59,205.60 and 24,039.81

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Solution

The fourth proportional to 42,902.69, 59,205.60 and 24,039.81 is: 33,174.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,902.69 : 59,205.60 = 24,039.81 : x
  2. Step 2: Convert to fraction form
    42,902.69/59,205.60 = 24,039.81/x
  3. Step 3: Cross multiply
    42,902.69x = 59,205.60 × 24,039.81
  4. Step 4: Simplify right side
    42,902.69x = 1,423,291,374.94
  5. Step 5: Solve for x
    x = 1,423,291,374.94/42,902.69
  6. Step 6: Final answer
    x = 33,174.88

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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.