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Finding the Fourth Proportional to 34,849, 48,088.38 and 20,705.32

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Solution

The fourth proportional to 34,849, 48,088.38 and 20,705.32 is: 28,571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,849 : 48,088.38 = 20,705.32 : x
  2. Step 2: Convert to fraction form
    34,849/48,088.38 = 20,705.32/x
  3. Step 3: Cross multiply
    34,849x = 48,088.38 × 20,705.32
  4. Step 4: Simplify right side
    34,849x = 995,685,296.18
  5. Step 5: Solve for x
    x = 995,685,296.18/34,849
  6. Step 6: Final answer
    x = 28,571.42

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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.