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Finding the Fourth Proportional to 83,349.40, 115,023.54 and 47,052.76

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Solution

The fourth proportional to 83,349.40, 115,023.54 and 47,052.76 is: 64,933.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,349.40 : 115,023.54 = 47,052.76 : x
  2. Step 2: Convert to fraction form
    83,349.40/115,023.54 = 47,052.76/x
  3. Step 3: Cross multiply
    83,349.40x = 115,023.54 × 47,052.76
  4. Step 4: Simplify right side
    83,349.40x = 5,412,175,021.97
  5. Step 5: Solve for x
    x = 5,412,175,021.97/83,349.40
  6. Step 6: Final answer
    x = 64,933.58

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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.