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Finding the Fourth Proportional to 106,712.98, 160,088.91 and 36,576.70

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Solution

The fourth proportional to 106,712.98, 160,088.91 and 36,576.70 is: 54,871.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,712.98 : 160,088.91 = 36,576.70 : x
  2. Step 2: Convert to fraction form
    106,712.98/160,088.91 = 36,576.70/x
  3. Step 3: Cross multiply
    106,712.98x = 160,088.91 × 36,576.70
  4. Step 4: Simplify right side
    106,712.98x = 5,855,524,034.40
  5. Step 5: Solve for x
    x = 5,855,524,034.40/106,712.98
  6. Step 6: Final answer
    x = 54,871.71

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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.