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Finding the Fourth Proportional to 43,976, 65,722.57 and 32,154.65

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Solution

The fourth proportional to 43,976, 65,722.57 and 32,154.65 is: 48,055.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,976 : 65,722.57 = 32,154.65 : x
  2. Step 2: Convert to fraction form
    43,976/65,722.57 = 32,154.65/x
  3. Step 3: Cross multiply
    43,976x = 65,722.57 × 32,154.65
  4. Step 4: Simplify right side
    43,976x = 2,113,286,235.45
  5. Step 5: Solve for x
    x = 2,113,286,235.45/43,976
  6. Step 6: Final answer
    x = 48,055.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.