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Finding the Fourth Proportional to 65,791.19, 98,605.01 and 30,214.77

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Solution

The fourth proportional to 65,791.19, 98,605.01 and 30,214.77 is: 45,284.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,791.19 : 98,605.01 = 30,214.77 : x
  2. Step 2: Convert to fraction form
    65,791.19/98,605.01 = 30,214.77/x
  3. Step 3: Cross multiply
    65,791.19x = 98,605.01 × 30,214.77
  4. Step 4: Simplify right side
    65,791.19x = 2,979,328,022.15
  5. Step 5: Solve for x
    x = 2,979,328,022.15/65,791.19
  6. Step 6: Final answer
    x = 45,284.61

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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.