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Finding the Fourth Proportional to 59,529.78, 82,145.11 and 35,655.84

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Solution

The fourth proportional to 59,529.78, 82,145.11 and 35,655.84 is: 49,201.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,529.78 : 82,145.11 = 35,655.84 : x
  2. Step 2: Convert to fraction form
    59,529.78/82,145.11 = 35,655.84/x
  3. Step 3: Cross multiply
    59,529.78x = 82,145.11 × 35,655.84
  4. Step 4: Simplify right side
    59,529.78x = 2,928,952,809.80
  5. Step 5: Solve for x
    x = 2,928,952,809.80/59,529.78
  6. Step 6: Final answer
    x = 49,201.47

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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.