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Finding the Fourth Proportional to 57,918.04, 79,928.58 and 32,767

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Solution

The fourth proportional to 57,918.04, 79,928.58 and 32,767 is: 45,219.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,918.04 : 79,928.58 = 32,767 : x
  2. Step 2: Convert to fraction form
    57,918.04/79,928.58 = 32,767/x
  3. Step 3: Cross multiply
    57,918.04x = 79,928.58 × 32,767
  4. Step 4: Simplify right side
    57,918.04x = 2,619,019,780.86
  5. Step 5: Solve for x
    x = 2,619,019,780.86/57,918.04
  6. Step 6: Final answer
    x = 45,219.41

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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.