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Finding the Fourth Proportional to 83,039.50, 114,594.51 and 49,505.50

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Solution

The fourth proportional to 83,039.50, 114,594.51 and 49,505.50 is: 68,317.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,039.50 : 114,594.51 = 49,505.50 : x
  2. Step 2: Convert to fraction form
    83,039.50/114,594.51 = 49,505.50/x
  3. Step 3: Cross multiply
    83,039.50x = 114,594.51 × 49,505.50
  4. Step 4: Simplify right side
    83,039.50x = 5,673,058,514.81
  5. Step 5: Solve for x
    x = 5,673,058,514.81/83,039.50
  6. Step 6: Final answer
    x = 68,317.59

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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.