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Finding the Fourth Proportional to 52,002.63, 78,132.33 and 33,290.82

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Solution

The fourth proportional to 52,002.63, 78,132.33 and 33,290.82 is: 50,018.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,002.63 : 78,132.33 = 33,290.82 : x
  2. Step 2: Convert to fraction form
    52,002.63/78,132.33 = 33,290.82/x
  3. Step 3: Cross multiply
    52,002.63x = 78,132.33 × 33,290.82
  4. Step 4: Simplify right side
    52,002.63x = 2,601,089,334.21
  5. Step 5: Solve for x
    x = 2,601,089,334.21/52,002.63
  6. Step 6: Final answer
    x = 50,018.42

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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.