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Finding the Fourth Proportional to 111,374.92, 167,029.26 and 32,464

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Solution

The fourth proportional to 111,374.92, 167,029.26 and 32,464 is: 48,686.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,374.92 : 167,029.26 = 32,464 : x
  2. Step 2: Convert to fraction form
    111,374.92/167,029.26 = 32,464/x
  3. Step 3: Cross multiply
    111,374.92x = 167,029.26 × 32,464
  4. Step 4: Simplify right side
    111,374.92x = 5,422,437,896.64
  5. Step 5: Solve for x
    x = 5,422,437,896.64/111,374.92
  6. Step 6: Final answer
    x = 48,686.35

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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.