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Finding the Fourth Proportional to 83,403.74, 114,982.74 and 52,761.60

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Solution

The fourth proportional to 83,403.74, 114,982.74 and 52,761.60 is: 72,738.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,403.74 : 114,982.74 = 52,761.60 : x
  2. Step 2: Convert to fraction form
    83,403.74/114,982.74 = 52,761.60/x
  3. Step 3: Cross multiply
    83,403.74x = 114,982.74 × 52,761.60
  4. Step 4: Simplify right side
    83,403.74x = 6,066,673,334.78
  5. Step 5: Solve for x
    x = 6,066,673,334.78/83,403.74
  6. Step 6: Final answer
    x = 72,738.62

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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.