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Finding the Fourth Proportional to 75,534.72, 104,236.56 and 42,000

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Solution

The fourth proportional to 75,534.72, 104,236.56 and 42,000 is: 57,959.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,534.72 : 104,236.56 = 42,000 : x
  2. Step 2: Convert to fraction form
    75,534.72/104,236.56 = 42,000/x
  3. Step 3: Cross multiply
    75,534.72x = 104,236.56 × 42,000
  4. Step 4: Simplify right side
    75,534.72x = 4,377,935,520
  5. Step 5: Solve for x
    x = 4,377,935,520/75,534.72
  6. Step 6: Final answer
    x = 57,959.25

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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.