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Finding the Fourth Proportional to 83,042.42, 114,598.77 and 49,507.70

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Solution

The fourth proportional to 83,042.42, 114,598.77 and 49,507.70 is: 68,320.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,042.42 : 114,598.77 = 49,507.70 : x
  2. Step 2: Convert to fraction form
    83,042.42/114,598.77 = 49,507.70/x
  3. Step 3: Cross multiply
    83,042.42x = 114,598.77 × 49,507.70
  4. Step 4: Simplify right side
    83,042.42x = 5,673,521,525.53
  5. Step 5: Solve for x
    x = 5,673,521,525.53/83,042.42
  6. Step 6: Final answer
    x = 68,320.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.