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Finding the Fourth Proportional to 78,261.44, 117,315 and 50,101.38

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Solution

The fourth proportional to 78,261.44, 117,315 and 50,101.38 is: 75,102.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,261.44 : 117,315 = 50,101.38 : x
  2. Step 2: Convert to fraction form
    78,261.44/117,315 = 50,101.38/x
  3. Step 3: Cross multiply
    78,261.44x = 117,315 × 50,101.38
  4. Step 4: Simplify right side
    78,261.44x = 5,877,643,394.70
  5. Step 5: Solve for x
    x = 5,877,643,394.70/78,261.44
  6. Step 6: Final answer
    x = 75,102.68

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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.