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Finding the Fourth Proportional to 57,154.40, 78,873 and 32,004.08

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Solution

The fourth proportional to 57,154.40, 78,873 and 32,004.08 is: 44,165.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,154.40 : 78,873 = 32,004.08 : x
  2. Step 2: Convert to fraction form
    57,154.40/78,873 = 32,004.08/x
  3. Step 3: Cross multiply
    57,154.40x = 78,873 × 32,004.08
  4. Step 4: Simplify right side
    57,154.40x = 2,524,257,801.84
  5. Step 5: Solve for x
    x = 2,524,257,801.84/57,154.40
  6. Step 6: Final answer
    x = 44,165.59

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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.