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Finding the Fourth Proportional to 32,102.65, 48,159.11 and 9,910.81

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Solution

The fourth proportional to 32,102.65, 48,159.11 and 9,910.81 is: 14,867.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,102.65 : 48,159.11 = 9,910.81 : x
  2. Step 2: Convert to fraction form
    32,102.65/48,159.11 = 9,910.81/x
  3. Step 3: Cross multiply
    32,102.65x = 48,159.11 × 9,910.81
  4. Step 4: Simplify right side
    32,102.65x = 477,295,788.98
  5. Step 5: Solve for x
    x = 477,295,788.98/32,102.65
  6. Step 6: Final answer
    x = 14,867.80

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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.