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Finding the Fourth Proportional to 64,463.04, 96,722.28 and 34,902

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Solution

The fourth proportional to 64,463.04, 96,722.28 and 34,902 is: 52,368.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,463.04 : 96,722.28 = 34,902 : x
  2. Step 2: Convert to fraction form
    64,463.04/96,722.28 = 34,902/x
  3. Step 3: Cross multiply
    64,463.04x = 96,722.28 × 34,902
  4. Step 4: Simplify right side
    64,463.04x = 3,375,801,016.56
  5. Step 5: Solve for x
    x = 3,375,801,016.56/64,463.04
  6. Step 6: Final answer
    x = 52,368.01

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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.