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Finding the Fourth Proportional to 84,074.76, 116,019.56 and 45,833.38

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Solution

The fourth proportional to 84,074.76, 116,019.56 and 45,833.38 is: 63,248.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,074.76 : 116,019.56 = 45,833.38 : x
  2. Step 2: Convert to fraction form
    84,074.76/116,019.56 = 45,833.38/x
  3. Step 3: Cross multiply
    84,074.76x = 116,019.56 × 45,833.38
  4. Step 4: Simplify right side
    84,074.76x = 5,317,568,405.45
  5. Step 5: Solve for x
    x = 5,317,568,405.45/84,074.76
  6. Step 6: Final answer
    x = 63,248.09

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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.