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Finding the Fourth Proportional to 52,644.96, 78,824.88 and 43,184.16

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Solution

The fourth proportional to 52,644.96, 78,824.88 and 43,184.16 is: 64,659.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,644.96 : 78,824.88 = 43,184.16 : x
  2. Step 2: Convert to fraction form
    52,644.96/78,824.88 = 43,184.16/x
  3. Step 3: Cross multiply
    52,644.96x = 78,824.88 × 43,184.16
  4. Step 4: Simplify right side
    52,644.96x = 3,403,986,229.90
  5. Step 5: Solve for x
    x = 3,403,986,229.90/52,644.96
  6. Step 6: Final answer
    x = 64,659.30

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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.