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Finding the Fourth Proportional to 34,488.72, 47,608.32 and 23,164.83

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Solution

The fourth proportional to 34,488.72, 47,608.32 and 23,164.83 is: 31,976.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,488.72 : 47,608.32 = 23,164.83 : x
  2. Step 2: Convert to fraction form
    34,488.72/47,608.32 = 23,164.83/x
  3. Step 3: Cross multiply
    34,488.72x = 47,608.32 × 23,164.83
  4. Step 4: Simplify right side
    34,488.72x = 1,102,838,639.39
  5. Step 5: Solve for x
    x = 1,102,838,639.39/34,488.72
  6. Step 6: Final answer
    x = 31,976.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.