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Finding the Fourth Proportional to 72,023.76, 108,035.64 and 19,433.24

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Solution

The fourth proportional to 72,023.76, 108,035.64 and 19,433.24 is: 29,149.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,023.76 : 108,035.64 = 19,433.24 : x
  2. Step 2: Convert to fraction form
    72,023.76/108,035.64 = 19,433.24/x
  3. Step 3: Cross multiply
    72,023.76x = 108,035.64 × 19,433.24
  4. Step 4: Simplify right side
    72,023.76x = 2,099,482,901.52
  5. Step 5: Solve for x
    x = 2,099,482,901.52/72,023.76
  6. Step 6: Final answer
    x = 29,149.87

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1.5x scale

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.