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Finding the Fourth Proportional to 55,264.46, 82,926.03 and 24,102.14

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Solution

The fourth proportional to 55,264.46, 82,926.03 and 24,102.14 is: 36,166.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,264.46 : 82,926.03 = 24,102.14 : x
  2. Step 2: Convert to fraction form
    55,264.46/82,926.03 = 24,102.14/x
  3. Step 3: Cross multiply
    55,264.46x = 82,926.03 × 24,102.14
  4. Step 4: Simplify right side
    55,264.46x = 1,998,694,784.70
  5. Step 5: Solve for x
    x = 1,998,694,784.70/55,264.46
  6. Step 6: Final answer
    x = 36,166.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.