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Finding the Fourth Proportional to 66,211.80, 99,317.70 and 47,452.20

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Solution

The fourth proportional to 66,211.80, 99,317.70 and 47,452.20 is: 71,178.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,211.80 : 99,317.70 = 47,452.20 : x
  2. Step 2: Convert to fraction form
    66,211.80/99,317.70 = 47,452.20/x
  3. Step 3: Cross multiply
    66,211.80x = 99,317.70 × 47,452.20
  4. Step 4: Simplify right side
    66,211.80x = 4,712,843,363.94
  5. Step 5: Solve for x
    x = 4,712,843,363.94/66,211.80
  6. Step 6: Final answer
    x = 71,178.30

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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.