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Finding the Fourth Proportional to 32,902.17, 49,357.58 and 17,320.65

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Solution

The fourth proportional to 32,902.17, 49,357.58 and 17,320.65 is: 25,983.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,902.17 : 49,357.58 = 17,320.65 : x
  2. Step 2: Convert to fraction form
    32,902.17/49,357.58 = 17,320.65/x
  3. Step 3: Cross multiply
    32,902.17x = 49,357.58 × 17,320.65
  4. Step 4: Simplify right side
    32,902.17x = 854,905,368.03
  5. Step 5: Solve for x
    x = 854,905,368.03/32,902.17
  6. Step 6: Final answer
    x = 25,983.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.