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Finding the Fourth Proportional to 110,110.56, 165,165.78 and 31,225.44

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Solution

The fourth proportional to 110,110.56, 165,165.78 and 31,225.44 is: 46,838.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,110.56 : 165,165.78 = 31,225.44 : x
  2. Step 2: Convert to fraction form
    110,110.56/165,165.78 = 31,225.44/x
  3. Step 3: Cross multiply
    110,110.56x = 165,165.78 × 31,225.44
  4. Step 4: Simplify right side
    110,110.56x = 5,157,374,153.44
  5. Step 5: Solve for x
    x = 5,157,374,153.44/110,110.56
  6. Step 6: Final answer
    x = 46,838.14

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1.5x scale

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.