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Finding the Fourth Proportional to 83,138.19, 114,768.46 and 52,964.88

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Solution

The fourth proportional to 83,138.19, 114,768.46 and 52,964.88 is: 73,115.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,138.19 : 114,768.46 = 52,964.88 : x
  2. Step 2: Convert to fraction form
    83,138.19/114,768.46 = 52,964.88/x
  3. Step 3: Cross multiply
    83,138.19x = 114,768.46 × 52,964.88
  4. Step 4: Simplify right side
    83,138.19x = 6,078,697,711.68
  5. Step 5: Solve for x
    x = 6,078,697,711.68/83,138.19
  6. Step 6: Final answer
    x = 73,115.59

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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.