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Finding the Fourth Proportional to 106,814.70, 160,225.29 and 36,693

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Solution

The fourth proportional to 106,814.70, 160,225.29 and 36,693 is: 55,040.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,814.70 : 160,225.29 = 36,693 : x
  2. Step 2: Convert to fraction form
    106,814.70/160,225.29 = 36,693/x
  3. Step 3: Cross multiply
    106,814.70x = 160,225.29 × 36,693
  4. Step 4: Simplify right side
    106,814.70x = 5,879,146,565.97
  5. Step 5: Solve for x
    x = 5,879,146,565.97/106,814.70
  6. Step 6: Final answer
    x = 55,040.61

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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.