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Finding the Fourth Proportional to 41,102.14, 56,721.80 and 24,119.50

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Solution

The fourth proportional to 41,102.14, 56,721.80 and 24,119.50 is: 33,285.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,102.14 : 56,721.80 = 24,119.50 : x
  2. Step 2: Convert to fraction form
    41,102.14/56,721.80 = 24,119.50/x
  3. Step 3: Cross multiply
    41,102.14x = 56,721.80 × 24,119.50
  4. Step 4: Simplify right side
    41,102.14x = 1,368,101,455.10
  5. Step 5: Solve for x
    x = 1,368,101,455.10/41,102.14
  6. Step 6: Final answer
    x = 33,285.41

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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.