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Finding the Fourth Proportional to 42,084.66, 58,076.84 and 24,181.34

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Solution

The fourth proportional to 42,084.66, 58,076.84 and 24,181.34 is: 33,370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,084.66 : 58,076.84 = 24,181.34 : x
  2. Step 2: Convert to fraction form
    42,084.66/58,076.84 = 24,181.34/x
  3. Step 3: Cross multiply
    42,084.66x = 58,076.84 × 24,181.34
  4. Step 4: Simplify right side
    42,084.66x = 1,404,375,814.17
  5. Step 5: Solve for x
    x = 1,404,375,814.17/42,084.66
  6. Step 6: Final answer
    x = 33,370.25

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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.