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Finding the Fourth Proportional to 107,851.70, 161,777.96 and 32,971.56

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Solution

The fourth proportional to 107,851.70, 161,777.96 and 32,971.56 is: 49,457.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,851.70 : 161,777.96 = 32,971.56 : x
  2. Step 2: Convert to fraction form
    107,851.70/161,777.96 = 32,971.56/x
  3. Step 3: Cross multiply
    107,851.70x = 161,777.96 × 32,971.56
  4. Step 4: Simplify right side
    107,851.70x = 5,334,071,714.82
  5. Step 5: Solve for x
    x = 5,334,071,714.82/107,851.70
  6. Step 6: Final answer
    x = 49,457.47

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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.