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Finding the Fourth Proportional to 83,974.42, 115,879.44 and 46,248.66

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Solution

The fourth proportional to 83,974.42, 115,879.44 and 46,248.66 is: 63,820.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,974.42 : 115,879.44 = 46,248.66 : x
  2. Step 2: Convert to fraction form
    83,974.42/115,879.44 = 46,248.66/x
  3. Step 3: Cross multiply
    83,974.42x = 115,879.44 × 46,248.66
  4. Step 4: Simplify right side
    83,974.42x = 5,359,268,821.55
  5. Step 5: Solve for x
    x = 5,359,268,821.55/83,974.42
  6. Step 6: Final answer
    x = 63,820.25

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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.