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Finding the Fourth Proportional to 78,121.17, 117,224.40 and 33,135.52

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Solution

The fourth proportional to 78,121.17, 117,224.40 and 33,135.52 is: 49,721.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,121.17 : 117,224.40 = 33,135.52 : x
  2. Step 2: Convert to fraction form
    78,121.17/117,224.40 = 33,135.52/x
  3. Step 3: Cross multiply
    78,121.17x = 117,224.40 × 33,135.52
  4. Step 4: Simplify right side
    78,121.17x = 3,884,291,450.69
  5. Step 5: Solve for x
    x = 3,884,291,450.69/78,121.17
  6. Step 6: Final answer
    x = 49,721.37

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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.