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Finding the Fourth Proportional to 107,642.90, 161,464.36 and 37,505.82

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Solution

The fourth proportional to 107,642.90, 161,464.36 and 37,505.82 is: 56,258.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,642.90 : 161,464.36 = 37,505.82 : x
  2. Step 2: Convert to fraction form
    107,642.90/161,464.36 = 37,505.82/x
  3. Step 3: Cross multiply
    107,642.90x = 161,464.36 × 37,505.82
  4. Step 4: Simplify right side
    107,642.90x = 6,055,853,222.58
  5. Step 5: Solve for x
    x = 6,055,853,222.58/107,642.90
  6. Step 6: Final answer
    x = 56,258.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.