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Finding the Fourth Proportional to 71,642.60, 107,464.80 and 21,723.20

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Solution

The fourth proportional to 71,642.60, 107,464.80 and 21,723.20 is: 32,585.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,642.60 : 107,464.80 = 21,723.20 : x
  2. Step 2: Convert to fraction form
    71,642.60/107,464.80 = 21,723.20/x
  3. Step 3: Cross multiply
    71,642.60x = 107,464.80 × 21,723.20
  4. Step 4: Simplify right side
    71,642.60x = 2,334,479,343.36
  5. Step 5: Solve for x
    x = 2,334,479,343.36/71,642.60
  6. Step 6: Final answer
    x = 32,585.07

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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.