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Finding the Fourth Proportional to 52,809.96, 72,850.49 and 35,808.45

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Solution

The fourth proportional to 52,809.96, 72,850.49 and 35,808.45 is: 49,397.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,809.96 : 72,850.49 = 35,808.45 : x
  2. Step 2: Convert to fraction form
    52,809.96/72,850.49 = 35,808.45/x
  3. Step 3: Cross multiply
    52,809.96x = 72,850.49 × 35,808.45
  4. Step 4: Simplify right side
    52,809.96x = 2,608,662,949.60
  5. Step 5: Solve for x
    x = 2,608,662,949.60/52,809.96
  6. Step 6: Final answer
    x = 49,397.18

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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.