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Finding the Fourth Proportional to 83,293.75, 114,948.08 and 45,568

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Solution

The fourth proportional to 83,293.75, 114,948.08 and 45,568 is: 62,885.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,293.75 : 114,948.08 = 45,568 : x
  2. Step 2: Convert to fraction form
    83,293.75/114,948.08 = 45,568/x
  3. Step 3: Cross multiply
    83,293.75x = 114,948.08 × 45,568
  4. Step 4: Simplify right side
    83,293.75x = 5,237,954,109.44
  5. Step 5: Solve for x
    x = 5,237,954,109.44/83,293.75
  6. Step 6: Final answer
    x = 62,885.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.