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Finding the Fourth Proportional to 47,832.93, 71,702.86 and 22,866.50

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Solution

The fourth proportional to 47,832.93, 71,702.86 and 22,866.50 is: 34,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,832.93 : 71,702.86 = 22,866.50 : x
  2. Step 2: Convert to fraction form
    47,832.93/71,702.86 = 22,866.50/x
  3. Step 3: Cross multiply
    47,832.93x = 71,702.86 × 22,866.50
  4. Step 4: Simplify right side
    47,832.93x = 1,639,593,089.68
  5. Step 5: Solve for x
    x = 1,639,593,089.68/47,832.93
  6. Step 6: Final answer
    x = 34,277.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.