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Finding the Fourth Proportional to 83,324.48, 114,970 and 49,343.64

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Solution

The fourth proportional to 83,324.48, 114,970 and 49,343.64 is: 68,083.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,324.48 : 114,970 = 49,343.64 : x
  2. Step 2: Convert to fraction form
    83,324.48/114,970 = 49,343.64/x
  3. Step 3: Cross multiply
    83,324.48x = 114,970 × 49,343.64
  4. Step 4: Simplify right side
    83,324.48x = 5,673,038,290.80
  5. Step 5: Solve for x
    x = 5,673,038,290.80/83,324.48
  6. Step 6: Final answer
    x = 68,083.69

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1.5x scale

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.