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Finding the Fourth Proportional to 72,269.64, 108,407.24 and 22,345.24

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Solution

The fourth proportional to 72,269.64, 108,407.24 and 22,345.24 is: 33,518.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,269.64 : 108,407.24 = 22,345.24 : x
  2. Step 2: Convert to fraction form
    72,269.64/108,407.24 = 22,345.24/x
  3. Step 3: Cross multiply
    72,269.64x = 108,407.24 × 22,345.24
  4. Step 4: Simplify right side
    72,269.64x = 2,422,385,795.54
  5. Step 5: Solve for x
    x = 2,422,385,795.54/72,269.64
  6. Step 6: Final answer
    x = 33,518.72

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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.