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Finding the Fourth Proportional to 83,589.17, 125,415.75 and 50,333

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Solution

The fourth proportional to 83,589.17, 125,415.75 and 50,333 is: 75,518.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,589.17 : 125,415.75 = 50,333 : x
  2. Step 2: Convert to fraction form
    83,589.17/125,415.75 = 50,333/x
  3. Step 3: Cross multiply
    83,589.17x = 125,415.75 × 50,333
  4. Step 4: Simplify right side
    83,589.17x = 6,312,550,944.75
  5. Step 5: Solve for x
    x = 6,312,550,944.75/83,589.17
  6. Step 6: Final answer
    x = 75,518.77

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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.