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Finding the Fourth Proportional to 32,491.20, 48,739.86 and 9,117.54

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Solution

The fourth proportional to 32,491.20, 48,739.86 and 9,117.54 is: 13,677.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,491.20 : 48,739.86 = 9,117.54 : x
  2. Step 2: Convert to fraction form
    32,491.20/48,739.86 = 9,117.54/x
  3. Step 3: Cross multiply
    32,491.20x = 48,739.86 × 9,117.54
  4. Step 4: Simplify right side
    32,491.20x = 444,387,623.14
  5. Step 5: Solve for x
    x = 444,387,623.14/32,491.20
  6. Step 6: Final answer
    x = 13,677.17

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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.