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Finding the Fourth Proportional to 80,392, 120,598.24 and 22,024

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Solution

The fourth proportional to 80,392, 120,598.24 and 22,024 is: 33,038.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,392 : 120,598.24 = 22,024 : x
  2. Step 2: Convert to fraction form
    80,392/120,598.24 = 22,024/x
  3. Step 3: Cross multiply
    80,392x = 120,598.24 × 22,024
  4. Step 4: Simplify right side
    80,392x = 2,656,055,637.76
  5. Step 5: Solve for x
    x = 2,656,055,637.76/80,392
  6. Step 6: Final answer
    x = 33,038.81

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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.