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Finding the Fourth Proportional to 72,449.24, 108,682.68 and 22,532

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Solution

The fourth proportional to 72,449.24, 108,682.68 and 22,532 is: 33,800.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,449.24 : 108,682.68 = 22,532 : x
  2. Step 2: Convert to fraction form
    72,449.24/108,682.68 = 22,532/x
  3. Step 3: Cross multiply
    72,449.24x = 108,682.68 × 22,532
  4. Step 4: Simplify right side
    72,449.24x = 2,448,838,145.76
  5. Step 5: Solve for x
    x = 2,448,838,145.76/72,449.24
  6. Step 6: Final answer
    x = 33,800.74

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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.