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Finding the Fourth Proportional to 57,551.84, 86,298.83 and 33,543.87

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Solution

The fourth proportional to 57,551.84, 86,298.83 and 33,543.87 is: 50,298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,551.84 : 86,298.83 = 33,543.87 : x
  2. Step 2: Convert to fraction form
    57,551.84/86,298.83 = 33,543.87/x
  3. Step 3: Cross multiply
    57,551.84x = 86,298.83 × 33,543.87
  4. Step 4: Simplify right side
    57,551.84x = 2,894,796,566.95
  5. Step 5: Solve for x
    x = 2,894,796,566.95/57,551.84
  6. Step 6: Final answer
    x = 50,298.94

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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.