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Finding the Fourth Proportional to 32,901.67, 49,356.83 and 17,320.15

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Solution

The fourth proportional to 32,901.67, 49,356.83 and 17,320.15 is: 25,982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,901.67 : 49,356.83 = 17,320.15 : x
  2. Step 2: Convert to fraction form
    32,901.67/49,356.83 = 17,320.15/x
  3. Step 3: Cross multiply
    32,901.67x = 49,356.83 × 17,320.15
  4. Step 4: Simplify right side
    32,901.67x = 854,867,699.12
  5. Step 5: Solve for x
    x = 854,867,699.12/32,901.67
  6. Step 6: Final answer
    x = 25,982.50

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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.