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Finding the Fourth Proportional to 107,782.68, 161,693.63 and 36,701.68

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Solution

The fourth proportional to 107,782.68, 161,693.63 and 36,701.68 is: 55,059.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,782.68 : 161,693.63 = 36,701.68 : x
  2. Step 2: Convert to fraction form
    107,782.68/161,693.63 = 36,701.68/x
  3. Step 3: Cross multiply
    107,782.68x = 161,693.63 × 36,701.68
  4. Step 4: Simplify right side
    107,782.68x = 5,934,427,866.30
  5. Step 5: Solve for x
    x = 5,934,427,866.30/107,782.68
  6. Step 6: Final answer
    x = 55,059.20

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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.