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Finding the Fourth Proportional to 71,634.96, 106,926.66 and 66,357

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Solution

The fourth proportional to 71,634.96, 106,926.66 and 66,357 is: 99,048.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,634.96 : 106,926.66 = 66,357 : x
  2. Step 2: Convert to fraction form
    71,634.96/106,926.66 = 66,357/x
  3. Step 3: Cross multiply
    71,634.96x = 106,926.66 × 66,357
  4. Step 4: Simplify right side
    71,634.96x = 7,095,332,377.62
  5. Step 5: Solve for x
    x = 7,095,332,377.62/71,634.96
  6. Step 6: Final answer
    x = 99,048.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.