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Finding the Fourth Proportional to 73,158.52, 109,745.06 and 19,851.32

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Solution

The fourth proportional to 73,158.52, 109,745.06 and 19,851.32 is: 29,778.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,158.52 : 109,745.06 = 19,851.32 : x
  2. Step 2: Convert to fraction form
    73,158.52/109,745.06 = 19,851.32/x
  3. Step 3: Cross multiply
    73,158.52x = 109,745.06 × 19,851.32
  4. Step 4: Simplify right side
    73,158.52x = 2,178,584,304.48
  5. Step 5: Solve for x
    x = 2,178,584,304.48/73,158.52
  6. Step 6: Final answer
    x = 29,778.96

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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.