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Finding the Fourth Proportional to 83,470.53, 115,229.22 and 47,653.62

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Solution

The fourth proportional to 83,470.53, 115,229.22 and 47,653.62 is: 65,784.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,470.53 : 115,229.22 = 47,653.62 : x
  2. Step 2: Convert to fraction form
    83,470.53/115,229.22 = 47,653.62/x
  3. Step 3: Cross multiply
    83,470.53x = 115,229.22 × 47,653.62
  4. Step 4: Simplify right side
    83,470.53x = 5,491,089,462.78
  5. Step 5: Solve for x
    x = 5,491,089,462.78/83,470.53
  6. Step 6: Final answer
    x = 65,784.77

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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.