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Finding the Fourth Proportional to 32,950.20, 49,301.82 and 19,574.22

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Solution

The fourth proportional to 32,950.20, 49,301.82 and 19,574.22 is: 29,287.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,950.20 : 49,301.82 = 19,574.22 : x
  2. Step 2: Convert to fraction form
    32,950.20/49,301.82 = 19,574.22/x
  3. Step 3: Cross multiply
    32,950.20x = 49,301.82 × 19,574.22
  4. Step 4: Simplify right side
    32,950.20x = 965,044,671.08
  5. Step 5: Solve for x
    x = 965,044,671.08/32,950.20
  6. Step 6: Final answer
    x = 29,287.98

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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.