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Finding the Fourth Proportional to 64,414.40, 96,488.64 and 47,793.28

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Solution

The fourth proportional to 64,414.40, 96,488.64 and 47,793.28 is: 71,591.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,414.40 : 96,488.64 = 47,793.28 : x
  2. Step 2: Convert to fraction form
    64,414.40/96,488.64 = 47,793.28/x
  3. Step 3: Cross multiply
    64,414.40x = 96,488.64 × 47,793.28
  4. Step 4: Simplify right side
    64,414.40x = 4,611,508,588.34
  5. Step 5: Solve for x
    x = 4,611,508,588.34/64,414.40
  6. Step 6: Final answer
    x = 71,591.27

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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.