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Finding the Fourth Proportional to 98,294.64, 135,614.52 and 57,994.80

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Solution

The fourth proportional to 98,294.64, 135,614.52 and 57,994.80 is: 80,013.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,294.64 : 135,614.52 = 57,994.80 : x
  2. Step 2: Convert to fraction form
    98,294.64/135,614.52 = 57,994.80/x
  3. Step 3: Cross multiply
    98,294.64x = 135,614.52 × 57,994.80
  4. Step 4: Simplify right side
    98,294.64x = 7,864,936,964.50
  5. Step 5: Solve for x
    x = 7,864,936,964.50/98,294.64
  6. Step 6: Final answer
    x = 80,013.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.