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Finding the Fourth Proportional to 33,018.30, 49,521.24 and 9,002.34

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Solution

The fourth proportional to 33,018.30, 49,521.24 and 9,002.34 is: 13,501.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,018.30 : 49,521.24 = 9,002.34 : x
  2. Step 2: Convert to fraction form
    33,018.30/49,521.24 = 9,002.34/x
  3. Step 3: Cross multiply
    33,018.30x = 49,521.24 × 9,002.34
  4. Step 4: Simplify right side
    33,018.30x = 445,807,039.70
  5. Step 5: Solve for x
    x = 445,807,039.70/33,018.30
  6. Step 6: Final answer
    x = 13,501.82

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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.