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Finding the Fourth Proportional to 81,967.32, 122,952.12 and 22,801.68

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Solution

The fourth proportional to 81,967.32, 122,952.12 and 22,801.68 is: 34,202.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,967.32 : 122,952.12 = 22,801.68 : x
  2. Step 2: Convert to fraction form
    81,967.32/122,952.12 = 22,801.68/x
  3. Step 3: Cross multiply
    81,967.32x = 122,952.12 × 22,801.68
  4. Step 4: Simplify right side
    81,967.32x = 2,803,514,895.56
  5. Step 5: Solve for x
    x = 2,803,514,895.56/81,967.32
  6. Step 6: Final answer
    x = 34,202.84

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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.