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Finding the Fourth Proportional to 83,098.32, 114,677.16 and 47,284.56

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Solution

The fourth proportional to 83,098.32, 114,677.16 and 47,284.56 is: 65,253.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,098.32 : 114,677.16 = 47,284.56 : x
  2. Step 2: Convert to fraction form
    83,098.32/114,677.16 = 47,284.56/x
  3. Step 3: Cross multiply
    83,098.32x = 114,677.16 × 47,284.56
  4. Step 4: Simplify right side
    83,098.32x = 5,422,459,052.65
  5. Step 5: Solve for x
    x = 5,422,459,052.65/83,098.32
  6. Step 6: Final answer
    x = 65,253.53

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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.