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Finding the Fourth Proportional to 75,583.32, 104,305.11 and 42,049.32

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Solution

The fourth proportional to 75,583.32, 104,305.11 and 42,049.32 is: 58,028.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,583.32 : 104,305.11 = 42,049.32 : x
  2. Step 2: Convert to fraction form
    75,583.32/104,305.11 = 42,049.32/x
  3. Step 3: Cross multiply
    75,583.32x = 104,305.11 × 42,049.32
  4. Step 4: Simplify right side
    75,583.32x = 4,385,958,948.03
  5. Step 5: Solve for x
    x = 4,385,958,948.03/75,583.32
  6. Step 6: Final answer
    x = 58,028.13

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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.