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Finding the Fourth Proportional to 71,005.32, 106,493.40 and 33,549.48

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Solution

The fourth proportional to 71,005.32, 106,493.40 and 33,549.48 is: 50,317.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,005.32 : 106,493.40 = 33,549.48 : x
  2. Step 2: Convert to fraction form
    71,005.32/106,493.40 = 33,549.48/x
  3. Step 3: Cross multiply
    71,005.32x = 106,493.40 × 33,549.48
  4. Step 4: Simplify right side
    71,005.32x = 3,572,798,193.43
  5. Step 5: Solve for x
    x = 3,572,798,193.43/71,005.32
  6. Step 6: Final answer
    x = 50,317.33

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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.