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Finding the Fourth Proportional to 72,442.80, 108,712.80 and 42,829.20

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Solution

The fourth proportional to 72,442.80, 108,712.80 and 42,829.20 is: 64,272.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,442.80 : 108,712.80 = 42,829.20 : x
  2. Step 2: Convert to fraction form
    72,442.80/108,712.80 = 42,829.20/x
  3. Step 3: Cross multiply
    72,442.80x = 108,712.80 × 42,829.20
  4. Step 4: Simplify right side
    72,442.80x = 4,656,082,253.76
  5. Step 5: Solve for x
    x = 4,656,082,253.76/72,442.80
  6. Step 6: Final answer
    x = 64,272.53

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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.