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Finding the Fourth Proportional to 33,058.50, 49,588.02 and 12,282

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Solution

The fourth proportional to 33,058.50, 49,588.02 and 12,282 is: 18,423.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,058.50 : 49,588.02 = 12,282 : x
  2. Step 2: Convert to fraction form
    33,058.50/49,588.02 = 12,282/x
  3. Step 3: Cross multiply
    33,058.50x = 49,588.02 × 12,282
  4. Step 4: Simplify right side
    33,058.50x = 609,040,061.64
  5. Step 5: Solve for x
    x = 609,040,061.64/33,058.50
  6. Step 6: Final answer
    x = 18,423.10

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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.