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Finding the Fourth Proportional to 33,641.90, 50,461.02 and 10,266.50

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Solution

The fourth proportional to 33,641.90, 50,461.02 and 10,266.50 is: 15,399.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,641.90 : 50,461.02 = 10,266.50 : x
  2. Step 2: Convert to fraction form
    33,641.90/50,461.02 = 10,266.50/x
  3. Step 3: Cross multiply
    33,641.90x = 50,461.02 × 10,266.50
  4. Step 4: Simplify right side
    33,641.90x = 518,058,061.83
  5. Step 5: Solve for x
    x = 518,058,061.83/33,641.90
  6. Step 6: Final answer
    x = 15,399.19

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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.