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Finding the Fourth Proportional to 69,714, 104,617.08 and 32,780.88

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Solution

The fourth proportional to 69,714, 104,617.08 and 32,780.88 is: 49,192.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,714 : 104,617.08 = 32,780.88 : x
  2. Step 2: Convert to fraction form
    69,714/104,617.08 = 32,780.88/x
  3. Step 3: Cross multiply
    69,714x = 104,617.08 × 32,780.88
  4. Step 4: Simplify right side
    69,714x = 3,429,439,945.43
  5. Step 5: Solve for x
    x = 3,429,439,945.43/69,714
  6. Step 6: Final answer
    x = 49,192.99

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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.