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Finding the Fourth Proportional to 99,761.82, 149,642.46 and 40,583.52

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Solution

The fourth proportional to 99,761.82, 149,642.46 and 40,583.52 is: 60,875.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,761.82 : 149,642.46 = 40,583.52 : x
  2. Step 2: Convert to fraction form
    99,761.82/149,642.46 = 40,583.52/x
  3. Step 3: Cross multiply
    99,761.82x = 149,642.46 × 40,583.52
  4. Step 4: Simplify right side
    99,761.82x = 6,073,017,768.26
  5. Step 5: Solve for x
    x = 6,073,017,768.26/99,761.82
  6. Step 6: Final answer
    x = 60,875.17

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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.