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Finding the Fourth Proportional to 41,202.22, 61,788.75 and 25,415.74

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Solution

The fourth proportional to 41,202.22, 61,788.75 and 25,415.74 is: 38,114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,202.22 : 61,788.75 = 25,415.74 : x
  2. Step 2: Convert to fraction form
    41,202.22/61,788.75 = 25,415.74/x
  3. Step 3: Cross multiply
    41,202.22x = 61,788.75 × 25,415.74
  4. Step 4: Simplify right side
    41,202.22x = 1,570,406,804.93
  5. Step 5: Solve for x
    x = 1,570,406,804.93/41,202.22
  6. Step 6: Final answer
    x = 38,114.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.