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Finding the Fourth Proportional to 110,163, 165,244.09 and 31,277.24

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Solution

The fourth proportional to 110,163, 165,244.09 and 31,277.24 is: 46,915.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,163 : 165,244.09 = 31,277.24 : x
  2. Step 2: Convert to fraction form
    110,163/165,244.09 = 31,277.24/x
  3. Step 3: Cross multiply
    110,163x = 165,244.09 × 31,277.24
  4. Step 4: Simplify right side
    110,163x = 5,168,379,061.51
  5. Step 5: Solve for x
    x = 5,168,379,061.51/110,163
  6. Step 6: Final answer
    x = 46,915.74

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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.