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Finding the Fourth Proportional to 41,300.48, 61,954.80 and 13,213.48

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Solution

The fourth proportional to 41,300.48, 61,954.80 and 13,213.48 is: 19,821.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,300.48 : 61,954.80 = 13,213.48 : x
  2. Step 2: Convert to fraction form
    41,300.48/61,954.80 = 13,213.48/x
  3. Step 3: Cross multiply
    41,300.48x = 61,954.80 × 13,213.48
  4. Step 4: Simplify right side
    41,300.48x = 818,638,510.70
  5. Step 5: Solve for x
    x = 818,638,510.70/41,300.48
  6. Step 6: Final answer
    x = 19,821.53

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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.