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Finding the Fourth Proportional to 42,882.60, 59,178.16 and 24,019.74

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Solution

The fourth proportional to 42,882.60, 59,178.16 and 24,019.74 is: 33,147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,882.60 : 59,178.16 = 24,019.74 : x
  2. Step 2: Convert to fraction form
    42,882.60/59,178.16 = 24,019.74/x
  3. Step 3: Cross multiply
    42,882.60x = 59,178.16 × 24,019.74
  4. Step 4: Simplify right side
    42,882.60x = 1,421,444,016.88
  5. Step 5: Solve for x
    x = 1,421,444,016.88/42,882.60
  6. Step 6: Final answer
    x = 33,147.34

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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.