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Finding the Fourth Proportional to 72,801.84, 109,195.32 and 22,882.32

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Solution

The fourth proportional to 72,801.84, 109,195.32 and 22,882.32 is: 34,321.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,801.84 : 109,195.32 = 22,882.32 : x
  2. Step 2: Convert to fraction form
    72,801.84/109,195.32 = 22,882.32/x
  3. Step 3: Cross multiply
    72,801.84x = 109,195.32 × 22,882.32
  4. Step 4: Simplify right side
    72,801.84x = 2,498,642,254.74
  5. Step 5: Solve for x
    x = 2,498,642,254.74/72,801.84
  6. Step 6: Final answer
    x = 34,321.14

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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.