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Finding the Fourth Proportional to 73,762.11, 101,710.96 and 49,847.27

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Solution

The fourth proportional to 73,762.11, 101,710.96 and 49,847.27 is: 68,734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,762.11 : 101,710.96 = 49,847.27 : x
  2. Step 2: Convert to fraction form
    73,762.11/101,710.96 = 49,847.27/x
  3. Step 3: Cross multiply
    73,762.11x = 101,710.96 × 49,847.27
  4. Step 4: Simplify right side
    73,762.11x = 5,070,013,051.91
  5. Step 5: Solve for x
    x = 5,070,013,051.91/73,762.11
  6. Step 6: Final answer
    x = 68,734.65

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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.