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Finding the Fourth Proportional to 62,295.12, 85,966.92 and 34,000.20

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Solution

The fourth proportional to 62,295.12, 85,966.92 and 34,000.20 is: 46,920.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,295.12 : 85,966.92 = 34,000.20 : x
  2. Step 2: Convert to fraction form
    62,295.12/85,966.92 = 34,000.20/x
  3. Step 3: Cross multiply
    62,295.12x = 85,966.92 × 34,000.20
  4. Step 4: Simplify right side
    62,295.12x = 2,922,892,473.38
  5. Step 5: Solve for x
    x = 2,922,892,473.38/62,295.12
  6. Step 6: Final answer
    x = 46,920.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.