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Finding the Fourth Proportional to 75,113.50, 103,628.01 and 49,631.98

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Solution

The fourth proportional to 75,113.50, 103,628.01 and 49,631.98 is: 68,473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,113.50 : 103,628.01 = 49,631.98 : x
  2. Step 2: Convert to fraction form
    75,113.50/103,628.01 = 49,631.98/x
  3. Step 3: Cross multiply
    75,113.50x = 103,628.01 × 49,631.98
  4. Step 4: Simplify right side
    75,113.50x = 5,143,263,319.76
  5. Step 5: Solve for x
    x = 5,143,263,319.76/75,113.50
  6. Step 6: Final answer
    x = 68,473.22

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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.