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Finding the Fourth Proportional to 42,902.56, 59,205.36 and 24,040

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Solution

The fourth proportional to 42,902.56, 59,205.36 and 24,040 is: 33,175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,902.56 : 59,205.36 = 24,040 : x
  2. Step 2: Convert to fraction form
    42,902.56/59,205.36 = 24,040/x
  3. Step 3: Cross multiply
    42,902.56x = 59,205.36 × 24,040
  4. Step 4: Simplify right side
    42,902.56x = 1,423,296,854.40
  5. Step 5: Solve for x
    x = 1,423,296,854.40/42,902.56
  6. Step 6: Final answer
    x = 33,175.10

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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.