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Finding the Fourth Proportional to 71,570.70, 107,356.05 and 36,578.70

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Solution

The fourth proportional to 71,570.70, 107,356.05 and 36,578.70 is: 54,868.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,570.70 : 107,356.05 = 36,578.70 : x
  2. Step 2: Convert to fraction form
    71,570.70/107,356.05 = 36,578.70/x
  3. Step 3: Cross multiply
    71,570.70x = 107,356.05 × 36,578.70
  4. Step 4: Simplify right side
    71,570.70x = 3,926,944,746.14
  5. Step 5: Solve for x
    x = 3,926,944,746.14/71,570.70
  6. Step 6: Final answer
    x = 54,868.05

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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.