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Finding the Fourth Proportional to 78,570.86, 117,805.49 and 33,621.56

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Solution

The fourth proportional to 78,570.86, 117,805.49 and 33,621.56 is: 50,410.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,570.86 : 117,805.49 = 33,621.56 : x
  2. Step 2: Convert to fraction form
    78,570.86/117,805.49 = 33,621.56/x
  3. Step 3: Cross multiply
    78,570.86x = 117,805.49 × 33,621.56
  4. Step 4: Simplify right side
    78,570.86x = 3,960,803,829.75
  5. Step 5: Solve for x
    x = 3,960,803,829.75/78,570.86
  6. Step 6: Final answer
    x = 50,410.59

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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.