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Finding the Fourth Proportional to 42,102.56, 58,099.56 and 24,184.96

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Solution

The fourth proportional to 42,102.56, 58,099.56 and 24,184.96 is: 33,374.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,102.56 : 58,099.56 = 24,184.96 : x
  2. Step 2: Convert to fraction form
    42,102.56/58,099.56 = 24,184.96/x
  3. Step 3: Cross multiply
    42,102.56x = 58,099.56 × 24,184.96
  4. Step 4: Simplify right side
    42,102.56x = 1,405,135,534.62
  5. Step 5: Solve for x
    x = 1,405,135,534.62/42,102.56
  6. Step 6: Final answer
    x = 33,374.11

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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.