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Finding the Fourth Proportional to 32,754.68, 45,155.69 and 27,698.62

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Solution

The fourth proportional to 32,754.68, 45,155.69 and 27,698.62 is: 38,185.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,754.68 : 45,155.69 = 27,698.62 : x
  2. Step 2: Convert to fraction form
    32,754.68/45,155.69 = 27,698.62/x
  3. Step 3: Cross multiply
    32,754.68x = 45,155.69 × 27,698.62
  4. Step 4: Simplify right side
    32,754.68x = 1,250,750,298.15
  5. Step 5: Solve for x
    x = 1,250,750,298.15/32,754.68
  6. Step 6: Final answer
    x = 38,185.39

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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.