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Finding the Fourth Proportional to 83,038.50, 114,593.13 and 49,504.50

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Solution

The fourth proportional to 83,038.50, 114,593.13 and 49,504.50 is: 68,316.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,038.50 : 114,593.13 = 49,504.50 : x
  2. Step 2: Convert to fraction form
    83,038.50/114,593.13 = 49,504.50/x
  3. Step 3: Cross multiply
    83,038.50x = 114,593.13 × 49,504.50
  4. Step 4: Simplify right side
    83,038.50x = 5,672,875,604.09
  5. Step 5: Solve for x
    x = 5,672,875,604.09/83,038.50
  6. Step 6: Final answer
    x = 68,316.21

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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.