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Finding the Fourth Proportional to 52,580, 78,858.20 and 15,131.72

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Solution

The fourth proportional to 52,580, 78,858.20 and 15,131.72 is: 22,694.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,580 : 78,858.20 = 15,131.72 : x
  2. Step 2: Convert to fraction form
    52,580/78,858.20 = 15,131.72/x
  3. Step 3: Cross multiply
    52,580x = 78,858.20 × 15,131.72
  4. Step 4: Simplify right side
    52,580x = 1,193,260,202.10
  5. Step 5: Solve for x
    x = 1,193,260,202.10/52,580
  6. Step 6: Final answer
    x = 22,694.18

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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.