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Finding the Fourth Proportional to 66,197.80, 99,287.10 and 19,445.80

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Solution

The fourth proportional to 66,197.80, 99,287.10 and 19,445.80 is: 29,165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,197.80 : 99,287.10 = 19,445.80 : x
  2. Step 2: Convert to fraction form
    66,197.80/99,287.10 = 19,445.80/x
  3. Step 3: Cross multiply
    66,197.80x = 99,287.10 × 19,445.80
  4. Step 4: Simplify right side
    66,197.80x = 1,930,717,089.18
  5. Step 5: Solve for x
    x = 1,930,717,089.18/66,197.80
  6. Step 6: Final answer
    x = 29,165.88

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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.