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Finding the Fourth Proportional to 66,498.25, 99,766.13 and 27,083.65

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Solution

The fourth proportional to 66,498.25, 99,766.13 and 27,083.65 is: 40,633.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,498.25 : 99,766.13 = 27,083.65 : x
  2. Step 2: Convert to fraction form
    66,498.25/99,766.13 = 27,083.65/x
  3. Step 3: Cross multiply
    66,498.25x = 99,766.13 × 27,083.65
  4. Step 4: Simplify right side
    66,498.25x = 2,702,030,946.77
  5. Step 5: Solve for x
    x = 2,702,030,946.77/66,498.25
  6. Step 6: Final answer
    x = 40,633.11

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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.