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Finding the Fourth Proportional to 101,514.88, 152,282.46 and 34,946.20

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Solution

The fourth proportional to 101,514.88, 152,282.46 and 34,946.20 is: 52,422.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,514.88 : 152,282.46 = 34,946.20 : x
  2. Step 2: Convert to fraction form
    101,514.88/152,282.46 = 34,946.20/x
  3. Step 3: Cross multiply
    101,514.88x = 152,282.46 × 34,946.20
  4. Step 4: Simplify right side
    101,514.88x = 5,321,693,303.65
  5. Step 5: Solve for x
    x = 5,321,693,303.65/101,514.88
  6. Step 6: Final answer
    x = 52,422.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.