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Finding the Fourth Proportional to 66,821.60, 100,232.40 and 41,452.40

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Solution

The fourth proportional to 66,821.60, 100,232.40 and 41,452.40 is: 62,178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,821.60 : 100,232.40 = 41,452.40 : x
  2. Step 2: Convert to fraction form
    66,821.60/100,232.40 = 41,452.40/x
  3. Step 3: Cross multiply
    66,821.60x = 100,232.40 × 41,452.40
  4. Step 4: Simplify right side
    66,821.60x = 4,154,873,537.76
  5. Step 5: Solve for x
    x = 4,154,873,537.76/66,821.60
  6. Step 6: Final answer
    x = 62,178.60

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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.