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Finding the Fourth Proportional to 32,691.69, 49,005.14 and 19,524.33

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Solution

The fourth proportional to 32,691.69, 49,005.14 and 19,524.33 is: 29,267.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,691.69 : 49,005.14 = 19,524.33 : x
  2. Step 2: Convert to fraction form
    32,691.69/49,005.14 = 19,524.33/x
  3. Step 3: Cross multiply
    32,691.69x = 49,005.14 × 19,524.33
  4. Step 4: Simplify right side
    32,691.69x = 956,792,427.43
  5. Step 5: Solve for x
    x = 956,792,427.43/32,691.69
  6. Step 6: Final answer
    x = 29,267.14

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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.