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Finding the Fourth Proportional to 73,738.82, 110,718.99 and 42,184.50

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Solution

The fourth proportional to 73,738.82, 110,718.99 and 42,184.50 is: 63,340.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,738.82 : 110,718.99 = 42,184.50 : x
  2. Step 2: Convert to fraction form
    73,738.82/110,718.99 = 42,184.50/x
  3. Step 3: Cross multiply
    73,738.82x = 110,718.99 × 42,184.50
  4. Step 4: Simplify right side
    73,738.82x = 4,670,625,233.66
  5. Step 5: Solve for x
    x = 4,670,625,233.66/73,738.82
  6. Step 6: Final answer
    x = 63,340.11

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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.