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Finding the Fourth Proportional to 83,329.48, 114,976.90 and 49,348.64

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Solution

The fourth proportional to 83,329.48, 114,976.90 and 49,348.64 is: 68,090.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,329.48 : 114,976.90 = 49,348.64 : x
  2. Step 2: Convert to fraction form
    83,329.48/114,976.90 = 49,348.64/x
  3. Step 3: Cross multiply
    83,329.48x = 114,976.90 × 49,348.64
  4. Step 4: Simplify right side
    83,329.48x = 5,673,953,646.42
  5. Step 5: Solve for x
    x = 5,673,953,646.42/83,329.48
  6. Step 6: Final answer
    x = 68,090.59

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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.