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Finding the Fourth Proportional to 64,467.80, 96,701.70 and 20,098.14

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Solution

The fourth proportional to 64,467.80, 96,701.70 and 20,098.14 is: 30,147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,467.80 : 96,701.70 = 20,098.14 : x
  2. Step 2: Convert to fraction form
    64,467.80/96,701.70 = 20,098.14/x
  3. Step 3: Cross multiply
    64,467.80x = 96,701.70 × 20,098.14
  4. Step 4: Simplify right side
    64,467.80x = 1,943,524,304.84
  5. Step 5: Solve for x
    x = 1,943,524,304.84/64,467.80
  6. Step 6: Final answer
    x = 30,147.21

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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.