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Finding the Fourth Proportional to 66,411.80, 91,647.15 and 36,197.38

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Solution

The fourth proportional to 66,411.80, 91,647.15 and 36,197.38 is: 49,951.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,411.80 : 91,647.15 = 36,197.38 : x
  2. Step 2: Convert to fraction form
    66,411.80/91,647.15 = 36,197.38/x
  3. Step 3: Cross multiply
    66,411.80x = 91,647.15 × 36,197.38
  4. Step 4: Simplify right side
    66,411.80x = 3,317,386,693.29
  5. Step 5: Solve for x
    x = 3,317,386,693.29/66,411.80
  6. Step 6: Final answer
    x = 49,951.77

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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.