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Finding the Fourth Proportional to 32,270.27, 48,407.84 and 8,896.50

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Solution

The fourth proportional to 32,270.27, 48,407.84 and 8,896.50 is: 13,345.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,270.27 : 48,407.84 = 8,896.50 : x
  2. Step 2: Convert to fraction form
    32,270.27/48,407.84 = 8,896.50/x
  3. Step 3: Cross multiply
    32,270.27x = 48,407.84 × 8,896.50
  4. Step 4: Simplify right side
    32,270.27x = 430,660,304.08
  5. Step 5: Solve for x
    x = 430,660,304.08/32,270.27
  6. Step 6: Final answer
    x = 13,345.42

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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.