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Finding the Fourth Proportional to 55,827.84, 83,730.61 and 27,352.56

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Solution

The fourth proportional to 55,827.84, 83,730.61 and 27,352.56 is: 41,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,827.84 : 83,730.61 = 27,352.56 : x
  2. Step 2: Convert to fraction form
    55,827.84/83,730.61 = 27,352.56/x
  3. Step 3: Cross multiply
    55,827.84x = 83,730.61 × 27,352.56
  4. Step 4: Simplify right side
    55,827.84x = 2,290,246,533.86
  5. Step 5: Solve for x
    x = 2,290,246,533.86/55,827.84
  6. Step 6: Final answer
    x = 41,023.38

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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.