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Finding the Fourth Proportional to 83,693.39, 115,463.49 and 53,470.88

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Solution

The fourth proportional to 83,693.39, 115,463.49 and 53,470.88 is: 73,768.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,693.39 : 115,463.49 = 53,470.88 : x
  2. Step 2: Convert to fraction form
    83,693.39/115,463.49 = 53,470.88/x
  3. Step 3: Cross multiply
    83,693.39x = 115,463.49 × 53,470.88
  4. Step 4: Simplify right side
    83,693.39x = 6,173,934,418.17
  5. Step 5: Solve for x
    x = 6,173,934,418.17/83,693.39
  6. Step 6: Final answer
    x = 73,768.48

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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.