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Finding the Fourth Proportional to 110,802.68, 166,165.14 and 31,895.80

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Solution

The fourth proportional to 110,802.68, 166,165.14 and 31,895.80 is: 47,832.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,802.68 : 166,165.14 = 31,895.80 : x
  2. Step 2: Convert to fraction form
    110,802.68/166,165.14 = 31,895.80/x
  3. Step 3: Cross multiply
    110,802.68x = 166,165.14 × 31,895.80
  4. Step 4: Simplify right side
    110,802.68x = 5,299,970,072.41
  5. Step 5: Solve for x
    x = 5,299,970,072.41/110,802.68
  6. Step 6: Final answer
    x = 47,832.51

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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.