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Finding the Fourth Proportional to 32,897.72, 49,351.44 and 9,521.12

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Solution

The fourth proportional to 32,897.72, 49,351.44 and 9,521.12 is: 14,283.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,897.72 : 49,351.44 = 9,521.12 : x
  2. Step 2: Convert to fraction form
    32,897.72/49,351.44 = 9,521.12/x
  3. Step 3: Cross multiply
    32,897.72x = 49,351.44 × 9,521.12
  4. Step 4: Simplify right side
    32,897.72x = 469,880,982.41
  5. Step 5: Solve for x
    x = 469,880,982.41/32,897.72
  6. Step 6: Final answer
    x = 14,283.09

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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.