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Finding the Fourth Proportional to 72,643.20, 108,964.80 and 25,879.20

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Solution

The fourth proportional to 72,643.20, 108,964.80 and 25,879.20 is: 38,818.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,643.20 : 108,964.80 = 25,879.20 : x
  2. Step 2: Convert to fraction form
    72,643.20/108,964.80 = 25,879.20/x
  3. Step 3: Cross multiply
    72,643.20x = 108,964.80 × 25,879.20
  4. Step 4: Simplify right side
    72,643.20x = 2,819,921,852.16
  5. Step 5: Solve for x
    x = 2,819,921,852.16/72,643.20
  6. Step 6: Final answer
    x = 38,818.80

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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.