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Finding the Fourth Proportional to 71,295.96, 106,900.62 and 35,715.90

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Solution

The fourth proportional to 71,295.96, 106,900.62 and 35,715.90 is: 53,552.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,295.96 : 106,900.62 = 35,715.90 : x
  2. Step 2: Convert to fraction form
    71,295.96/106,900.62 = 35,715.90/x
  3. Step 3: Cross multiply
    71,295.96x = 106,900.62 × 35,715.90
  4. Step 4: Simplify right side
    71,295.96x = 3,818,051,853.86
  5. Step 5: Solve for x
    x = 3,818,051,853.86/71,295.96
  6. Step 6: Final answer
    x = 53,552.15

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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.