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Finding the Fourth Proportional to 32,132.76, 48,207.45 and 18,817

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Solution

The fourth proportional to 32,132.76, 48,207.45 and 18,817 is: 28,230.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,132.76 : 48,207.45 = 18,817 : x
  2. Step 2: Convert to fraction form
    32,132.76/48,207.45 = 18,817/x
  3. Step 3: Cross multiply
    32,132.76x = 48,207.45 × 18,817
  4. Step 4: Simplify right side
    32,132.76x = 907,119,586.65
  5. Step 5: Solve for x
    x = 907,119,586.65/32,132.76
  6. Step 6: Final answer
    x = 28,230.37

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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.