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Finding the Fourth Proportional to 83,210.50, 124,847.16 and 49,953.75

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Solution

The fourth proportional to 83,210.50, 124,847.16 and 49,953.75 is: 74,949.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,210.50 : 124,847.16 = 49,953.75 : x
  2. Step 2: Convert to fraction form
    83,210.50/124,847.16 = 49,953.75/x
  3. Step 3: Cross multiply
    83,210.50x = 124,847.16 × 49,953.75
  4. Step 4: Simplify right side
    83,210.50x = 6,236,583,818.85
  5. Step 5: Solve for x
    x = 6,236,583,818.85/83,210.50
  6. Step 6: Final answer
    x = 74,949.48

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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.