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Finding the Fourth Proportional to 33,271, 49,914.72 and 9,897.36

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Solution

The fourth proportional to 33,271, 49,914.72 and 9,897.36 is: 14,848.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,271 : 49,914.72 = 9,897.36 : x
  2. Step 2: Convert to fraction form
    33,271/49,914.72 = 9,897.36/x
  3. Step 3: Cross multiply
    33,271x = 49,914.72 × 9,897.36
  4. Step 4: Simplify right side
    33,271x = 494,023,953.14
  5. Step 5: Solve for x
    x = 494,023,953.14/33,271
  6. Step 6: Final answer
    x = 14,848.49

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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.