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Finding the Fourth Proportional to 100,385.66, 138,529.81 and 55,063.24

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Solution

The fourth proportional to 100,385.66, 138,529.81 and 55,063.24 is: 75,985.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,385.66 : 138,529.81 = 55,063.24 : x
  2. Step 2: Convert to fraction form
    100,385.66/138,529.81 = 55,063.24/x
  3. Step 3: Cross multiply
    100,385.66x = 138,529.81 × 55,063.24
  4. Step 4: Simplify right side
    100,385.66x = 7,627,900,175.18
  5. Step 5: Solve for x
    x = 7,627,900,175.18/100,385.66
  6. Step 6: Final answer
    x = 75,985.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.