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Finding the Fourth Proportional to 43,780.20, 65,718.90 and 24,097.20

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Solution

The fourth proportional to 43,780.20, 65,718.90 and 24,097.20 is: 36,172.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,780.20 : 65,718.90 = 24,097.20 : x
  2. Step 2: Convert to fraction form
    43,780.20/65,718.90 = 24,097.20/x
  3. Step 3: Cross multiply
    43,780.20x = 65,718.90 × 24,097.20
  4. Step 4: Simplify right side
    43,780.20x = 1,583,641,477.08
  5. Step 5: Solve for x
    x = 1,583,641,477.08/43,780.20
  6. Step 6: Final answer
    x = 36,172.55

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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.