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Finding the Fourth Proportional to 64,494.36, 96,769.08 and 34,877.52

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Solution

The fourth proportional to 64,494.36, 96,769.08 and 34,877.52 is: 52,331.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,494.36 : 96,769.08 = 34,877.52 : x
  2. Step 2: Convert to fraction form
    64,494.36/96,769.08 = 34,877.52/x
  3. Step 3: Cross multiply
    64,494.36x = 96,769.08 × 34,877.52
  4. Step 4: Simplify right side
    64,494.36x = 3,375,065,523.08
  5. Step 5: Solve for x
    x = 3,375,065,523.08/64,494.36
  6. Step 6: Final answer
    x = 52,331.17

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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.