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Finding the Fourth Proportional to 67,902.84, 101,154.15 and 65,839.32

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Solution

The fourth proportional to 67,902.84, 101,154.15 and 65,839.32 is: 98,080.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,902.84 : 101,154.15 = 65,839.32 : x
  2. Step 2: Convert to fraction form
    67,902.84/101,154.15 = 65,839.32/x
  3. Step 3: Cross multiply
    67,902.84x = 101,154.15 × 65,839.32
  4. Step 4: Simplify right side
    67,902.84x = 6,659,920,451.18
  5. Step 5: Solve for x
    x = 6,659,920,451.18/67,902.84
  6. Step 6: Final answer
    x = 98,080.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.