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Finding the Fourth Proportional to 110,007, 165,013.74 and 26,901

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Solution

The fourth proportional to 110,007, 165,013.74 and 26,901 is: 40,352.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,007 : 165,013.74 = 26,901 : x
  2. Step 2: Convert to fraction form
    110,007/165,013.74 = 26,901/x
  3. Step 3: Cross multiply
    110,007x = 165,013.74 × 26,901
  4. Step 4: Simplify right side
    110,007x = 4,439,034,619.74
  5. Step 5: Solve for x
    x = 4,439,034,619.74/110,007
  6. Step 6: Final answer
    x = 40,352.29

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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.