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Finding the Fourth Proportional to 83,246.16, 124,857 and 30,643.44

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Solution

The fourth proportional to 83,246.16, 124,857 and 30,643.44 is: 45,960.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,246.16 : 124,857 = 30,643.44 : x
  2. Step 2: Convert to fraction form
    83,246.16/124,857 = 30,643.44/x
  3. Step 3: Cross multiply
    83,246.16x = 124,857 × 30,643.44
  4. Step 4: Simplify right side
    83,246.16x = 3,826,047,988.08
  5. Step 5: Solve for x
    x = 3,826,047,988.08/83,246.16
  6. Step 6: Final answer
    x = 45,960.65

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Why These Related Problems?

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