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Finding the Fourth Proportional to 83,329.44, 114,958.08 and 49,776

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Solution

The fourth proportional to 83,329.44, 114,958.08 and 49,776 is: 68,669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,329.44 : 114,958.08 = 49,776 : x
  2. Step 2: Convert to fraction form
    83,329.44/114,958.08 = 49,776/x
  3. Step 3: Cross multiply
    83,329.44x = 114,958.08 × 49,776
  4. Step 4: Simplify right side
    83,329.44x = 5,722,153,390.08
  5. Step 5: Solve for x
    x = 5,722,153,390.08/83,329.44
  6. Step 6: Final answer
    x = 68,669.05

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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.