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Finding the Fourth Proportional to 88,945.20, 133,406.28 and 33,534

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Solution

The fourth proportional to 88,945.20, 133,406.28 and 33,534 is: 50,296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,945.20 : 133,406.28 = 33,534 : x
  2. Step 2: Convert to fraction form
    88,945.20/133,406.28 = 33,534/x
  3. Step 3: Cross multiply
    88,945.20x = 133,406.28 × 33,534
  4. Step 4: Simplify right side
    88,945.20x = 4,473,646,193.52
  5. Step 5: Solve for x
    x = 4,473,646,193.52/88,945.20
  6. Step 6: Final answer
    x = 50,296.66

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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.