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Finding the Fourth Proportional to 72,532, 108,964.77 and 51,523.12

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Solution

The fourth proportional to 72,532, 108,964.77 and 51,523.12 is: 77,403.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,532 : 108,964.77 = 51,523.12 : x
  2. Step 2: Convert to fraction form
    72,532/108,964.77 = 51,523.12/x
  3. Step 3: Cross multiply
    72,532x = 108,964.77 × 51,523.12
  4. Step 4: Simplify right side
    72,532x = 5,614,204,920.48
  5. Step 5: Solve for x
    x = 5,614,204,920.48/72,532
  6. Step 6: Final answer
    x = 77,403.15

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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.