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Finding the Fourth Proportional to 57,730, 86,344.83 and 33,980.95

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Solution

The fourth proportional to 57,730, 86,344.83 and 33,980.95 is: 50,824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,730 : 86,344.83 = 33,980.95 : x
  2. Step 2: Convert to fraction form
    57,730/86,344.83 = 33,980.95/x
  3. Step 3: Cross multiply
    57,730x = 86,344.83 × 33,980.95
  4. Step 4: Simplify right side
    57,730x = 2,934,079,350.99
  5. Step 5: Solve for x
    x = 2,934,079,350.99/57,730
  6. Step 6: Final answer
    x = 50,824.17

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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.