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Finding the Fourth Proportional to 76,482.87, 114,626.95 and 43,221.53

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Solution

The fourth proportional to 76,482.87, 114,626.95 and 43,221.53 is: 64,777.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,482.87 : 114,626.95 = 43,221.53 : x
  2. Step 2: Convert to fraction form
    76,482.87/114,626.95 = 43,221.53/x
  3. Step 3: Cross multiply
    76,482.87x = 114,626.95 × 43,221.53
  4. Step 4: Simplify right side
    76,482.87x = 4,954,352,336.75
  5. Step 5: Solve for x
    x = 4,954,352,336.75/76,482.87
  6. Step 6: Final answer
    x = 64,777.28

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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.