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Finding the Fourth Proportional to 82,050.92, 123,065.44 and 22,881.64

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Solution

The fourth proportional to 82,050.92, 123,065.44 and 22,881.64 is: 34,319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,050.92 : 123,065.44 = 22,881.64 : x
  2. Step 2: Convert to fraction form
    82,050.92/123,065.44 = 22,881.64/x
  3. Step 3: Cross multiply
    82,050.92x = 123,065.44 × 22,881.64
  4. Step 4: Simplify right side
    82,050.92x = 2,815,938,729.65
  5. Step 5: Solve for x
    x = 2,815,938,729.65/82,050.92
  6. Step 6: Final answer
    x = 34,319.40

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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.