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Finding the Fourth Proportional to 81,167.90, 121,751.86 and 33,782.10

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Solution

The fourth proportional to 81,167.90, 121,751.86 and 33,782.10 is: 50,673.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,167.90 : 121,751.86 = 33,782.10 : x
  2. Step 2: Convert to fraction form
    81,167.90/121,751.86 = 33,782.10/x
  3. Step 3: Cross multiply
    81,167.90x = 121,751.86 × 33,782.10
  4. Step 4: Simplify right side
    81,167.90x = 4,113,033,509.71
  5. Step 5: Solve for x
    x = 4,113,033,509.71/81,167.90
  6. Step 6: Final answer
    x = 50,673.15

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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.