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Finding the Fourth Proportional to 33,038.80, 49,549.06 and 9,344.49

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Solution

The fourth proportional to 33,038.80, 49,549.06 and 9,344.49 is: 14,014.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,038.80 : 49,549.06 = 9,344.49 : x
  2. Step 2: Convert to fraction form
    33,038.80/49,549.06 = 9,344.49/x
  3. Step 3: Cross multiply
    33,038.80x = 49,549.06 × 9,344.49
  4. Step 4: Simplify right side
    33,038.80x = 463,010,695.68
  5. Step 5: Solve for x
    x = 463,010,695.68/33,038.80
  6. Step 6: Final answer
    x = 14,014.15

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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.