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Finding the Fourth Proportional to 50,828.67, 70,146.26 and 28,170.13

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Solution

The fourth proportional to 50,828.67, 70,146.26 and 28,170.13 is: 38,876.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,828.67 : 70,146.26 = 28,170.13 : x
  2. Step 2: Convert to fraction form
    50,828.67/70,146.26 = 28,170.13/x
  3. Step 3: Cross multiply
    50,828.67x = 70,146.26 × 28,170.13
  4. Step 4: Simplify right side
    50,828.67x = 1,976,029,263.21
  5. Step 5: Solve for x
    x = 1,976,029,263.21/50,828.67
  6. Step 6: Final answer
    x = 38,876.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.