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Finding the Fourth Proportional to 22,071.95, 33,103.13 and 8,032.31

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Solution

The fourth proportional to 22,071.95, 33,103.13 and 8,032.31 is: 12,046.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,071.95 : 33,103.13 = 8,032.31 : x
  2. Step 2: Convert to fraction form
    22,071.95/33,103.13 = 8,032.31/x
  3. Step 3: Cross multiply
    22,071.95x = 33,103.13 × 8,032.31
  4. Step 4: Simplify right side
    22,071.95x = 265,894,644.73
  5. Step 5: Solve for x
    x = 265,894,644.73/22,071.95
  6. Step 6: Final answer
    x = 12,046.72

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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.