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Finding the Fourth Proportional to 33,235.30, 49,855.22 and 9,541.02

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Solution

The fourth proportional to 33,235.30, 49,855.22 and 9,541.02 is: 14,312.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,235.30 : 49,855.22 = 9,541.02 : x
  2. Step 2: Convert to fraction form
    33,235.30/49,855.22 = 9,541.02/x
  3. Step 3: Cross multiply
    33,235.30x = 49,855.22 × 9,541.02
  4. Step 4: Simplify right side
    33,235.30x = 475,669,602.41
  5. Step 5: Solve for x
    x = 475,669,602.41/33,235.30
  6. Step 6: Final answer
    x = 14,312.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.