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Finding the Fourth Proportional to 107,459.40, 161,190.45 and 32,580.30

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Solution

The fourth proportional to 107,459.40, 161,190.45 and 32,580.30 is: 48,870.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,459.40 : 161,190.45 = 32,580.30 : x
  2. Step 2: Convert to fraction form
    107,459.40/161,190.45 = 32,580.30/x
  3. Step 3: Cross multiply
    107,459.40x = 161,190.45 × 32,580.30
  4. Step 4: Simplify right side
    107,459.40x = 5,251,633,218.14
  5. Step 5: Solve for x
    x = 5,251,633,218.14/107,459.40
  6. Step 6: Final answer
    x = 48,870.86

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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.