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Finding the Fourth Proportional to 107,783.93, 161,605.50 and 51,622.25

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Solution

The fourth proportional to 107,783.93, 161,605.50 and 51,622.25 is: 77,399.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,783.93 : 161,605.50 = 51,622.25 : x
  2. Step 2: Convert to fraction form
    107,783.93/161,605.50 = 51,622.25/x
  3. Step 3: Cross multiply
    107,783.93x = 161,605.50 × 51,622.25
  4. Step 4: Simplify right side
    107,783.93x = 8,342,438,520.76
  5. Step 5: Solve for x
    x = 8,342,438,520.76/107,783.93
  6. Step 6: Final answer
    x = 77,399.65

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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.