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Finding the Fourth Proportional to 41,138.26, 61,707.40 and 14,843

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Solution

The fourth proportional to 41,138.26, 61,707.40 and 14,843 is: 22,264.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,138.26 : 61,707.40 = 14,843 : x
  2. Step 2: Convert to fraction form
    41,138.26/61,707.40 = 14,843/x
  3. Step 3: Cross multiply
    41,138.26x = 61,707.40 × 14,843
  4. Step 4: Simplify right side
    41,138.26x = 915,922,938.20
  5. Step 5: Solve for x
    x = 915,922,938.20/41,138.26
  6. Step 6: Final answer
    x = 22,264.50

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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.