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Finding the Fourth Proportional to 32,754.18, 45,155 and 27,698.12

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Solution

The fourth proportional to 32,754.18, 45,155 and 27,698.12 is: 38,184.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,754.18 : 45,155 = 27,698.12 : x
  2. Step 2: Convert to fraction form
    32,754.18/45,155 = 27,698.12/x
  3. Step 3: Cross multiply
    32,754.18x = 45,155 × 27,698.12
  4. Step 4: Simplify right side
    32,754.18x = 1,250,708,608.60
  5. Step 5: Solve for x
    x = 1,250,708,608.60/32,754.18
  6. Step 6: Final answer
    x = 38,184.70

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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.