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Finding the Fourth Proportional to 75,943.30, 113,914.95 and 71,569.30

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Solution

The fourth proportional to 75,943.30, 113,914.95 and 71,569.30 is: 107,353.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,943.30 : 113,914.95 = 71,569.30 : x
  2. Step 2: Convert to fraction form
    75,943.30/113,914.95 = 71,569.30/x
  3. Step 3: Cross multiply
    75,943.30x = 113,914.95 × 71,569.30
  4. Step 4: Simplify right side
    75,943.30x = 8,152,813,231.04
  5. Step 5: Solve for x
    x = 8,152,813,231.04/75,943.30
  6. Step 6: Final answer
    x = 107,353.95

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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.