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Finding the Fourth Proportional to 71,809.48, 107,714.28 and 32,320.48

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Solution

The fourth proportional to 71,809.48, 107,714.28 and 32,320.48 is: 48,480.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,809.48 : 107,714.28 = 32,320.48 : x
  2. Step 2: Convert to fraction form
    71,809.48/107,714.28 = 32,320.48/x
  3. Step 3: Cross multiply
    71,809.48x = 107,714.28 × 32,320.48
  4. Step 4: Simplify right side
    71,809.48x = 3,481,377,232.45
  5. Step 5: Solve for x
    x = 3,481,377,232.45/71,809.48
  6. Step 6: Final answer
    x = 48,480.75

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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.