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Finding the Fourth Proportional to 110,116.94, 165,175.41 and 31,221.32

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Solution

The fourth proportional to 110,116.94, 165,175.41 and 31,221.32 is: 46,831.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,116.94 : 165,175.41 = 31,221.32 : x
  2. Step 2: Convert to fraction form
    110,116.94/165,175.41 = 31,221.32/x
  3. Step 3: Cross multiply
    110,116.94x = 165,175.41 × 31,221.32
  4. Step 4: Simplify right side
    110,116.94x = 5,156,994,331.74
  5. Step 5: Solve for x
    x = 5,156,994,331.74/110,116.94
  6. Step 6: Final answer
    x = 46,831.98

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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.