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Finding the Fourth Proportional to 75,677.28, 113,476.50 and 28,253.36

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Solution

The fourth proportional to 75,677.28, 113,476.50 and 28,253.36 is: 42,365.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,677.28 : 113,476.50 = 28,253.36 : x
  2. Step 2: Convert to fraction form
    75,677.28/113,476.50 = 28,253.36/x
  3. Step 3: Cross multiply
    75,677.28x = 113,476.50 × 28,253.36
  4. Step 4: Simplify right side
    75,677.28x = 3,206,092,406.04
  5. Step 5: Solve for x
    x = 3,206,092,406.04/75,677.28
  6. Step 6: Final answer
    x = 42,365.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.