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Finding the Fourth Proportional to 78,055.10, 117,129.34 and 33,681.84

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Solution

The fourth proportional to 78,055.10, 117,129.34 and 33,681.84 is: 50,542.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,055.10 : 117,129.34 = 33,681.84 : x
  2. Step 2: Convert to fraction form
    78,055.10/117,129.34 = 33,681.84/x
  3. Step 3: Cross multiply
    78,055.10x = 117,129.34 × 33,681.84
  4. Step 4: Simplify right side
    78,055.10x = 3,945,131,689.19
  5. Step 5: Solve for x
    x = 3,945,131,689.19/78,055.10
  6. Step 6: Final answer
    x = 50,542.91

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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.