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Finding the Fourth Proportional to 64,209.20, 96,357.53 and 22,656.20

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Solution

The fourth proportional to 64,209.20, 96,357.53 and 22,656.20 is: 33,999.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,209.20 : 96,357.53 = 22,656.20 : x
  2. Step 2: Convert to fraction form
    64,209.20/96,357.53 = 22,656.20/x
  3. Step 3: Cross multiply
    64,209.20x = 96,357.53 × 22,656.20
  4. Step 4: Simplify right side
    64,209.20x = 2,183,094,876.12
  5. Step 5: Solve for x
    x = 2,183,094,876.12/64,209.20
  6. Step 6: Final answer
    x = 33,999.72

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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.