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Finding the Fourth Proportional to 83,758.25, 115,590.81 and 47,953.64

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Solution

The fourth proportional to 83,758.25, 115,590.81 and 47,953.64 is: 66,178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,758.25 : 115,590.81 = 47,953.64 : x
  2. Step 2: Convert to fraction form
    83,758.25/115,590.81 = 47,953.64/x
  3. Step 3: Cross multiply
    83,758.25x = 115,590.81 × 47,953.64
  4. Step 4: Simplify right side
    83,758.25x = 5,543,000,498.91
  5. Step 5: Solve for x
    x = 5,543,000,498.91/83,758.25
  6. Step 6: Final answer
    x = 66,178.56

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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.