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Finding the Fourth Proportional to 110,971.56, 166,457.40 and 37,099.56

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Solution

The fourth proportional to 110,971.56, 166,457.40 and 37,099.56 is: 55,649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,971.56 : 166,457.40 = 37,099.56 : x
  2. Step 2: Convert to fraction form
    110,971.56/166,457.40 = 37,099.56/x
  3. Step 3: Cross multiply
    110,971.56x = 166,457.40 × 37,099.56
  4. Step 4: Simplify right side
    110,971.56x = 6,175,496,298.74
  5. Step 5: Solve for x
    x = 6,175,496,298.74/110,971.56
  6. Step 6: Final answer
    x = 55,649.36

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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.