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Finding the Fourth Proportional to 110,098.53, 165,147.77 and 31,213.44

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Solution

The fourth proportional to 110,098.53, 165,147.77 and 31,213.44 is: 46,820.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,098.53 : 165,147.77 = 31,213.44 : x
  2. Step 2: Convert to fraction form
    110,098.53/165,147.77 = 31,213.44/x
  3. Step 3: Cross multiply
    110,098.53x = 165,147.77 × 31,213.44
  4. Step 4: Simplify right side
    110,098.53x = 5,154,830,088.06
  5. Step 5: Solve for x
    x = 5,154,830,088.06/110,098.53
  6. Step 6: Final answer
    x = 46,820.15

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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.