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Finding the Fourth Proportional to 32,237.65, 48,357.69 and 8,865.91

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Solution

The fourth proportional to 32,237.65, 48,357.69 and 8,865.91 is: 13,299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,237.65 : 48,357.69 = 8,865.91 : x
  2. Step 2: Convert to fraction form
    32,237.65/48,357.69 = 8,865.91/x
  3. Step 3: Cross multiply
    32,237.65x = 48,357.69 × 8,865.91
  4. Step 4: Simplify right side
    32,237.65x = 428,734,927.35
  5. Step 5: Solve for x
    x = 428,734,927.35/32,237.65
  6. Step 6: Final answer
    x = 13,299.20

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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.