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Finding the Fourth Proportional to 75,656, 104,406 and 42,122.72

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Solution

The fourth proportional to 75,656, 104,406 and 42,122.72 is: 58,129.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,656 : 104,406 = 42,122.72 : x
  2. Step 2: Convert to fraction form
    75,656/104,406 = 42,122.72/x
  3. Step 3: Cross multiply
    75,656x = 104,406 × 42,122.72
  4. Step 4: Simplify right side
    75,656x = 4,397,864,704.32
  5. Step 5: Solve for x
    x = 4,397,864,704.32/75,656
  6. Step 6: Final answer
    x = 58,129.75

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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.