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Finding the Fourth Proportional to 59,739.84, 89,665.11 and 30,178.49

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Solution

The fourth proportional to 59,739.84, 89,665.11 and 30,178.49 is: 45,295.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,739.84 : 89,665.11 = 30,178.49 : x
  2. Step 2: Convert to fraction form
    59,739.84/89,665.11 = 30,178.49/x
  3. Step 3: Cross multiply
    59,739.84x = 89,665.11 × 30,178.49
  4. Step 4: Simplify right side
    59,739.84x = 2,705,957,177.16
  5. Step 5: Solve for x
    x = 2,705,957,177.16/59,739.84
  6. Step 6: Final answer
    x = 45,295.69

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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.