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Finding the Fourth Proportional to 65,791.42, 98,703.57 and 19,044.29

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Solution

The fourth proportional to 65,791.42, 98,703.57 and 19,044.29 is: 28,571.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,791.42 : 98,703.57 = 19,044.29 : x
  2. Step 2: Convert to fraction form
    65,791.42/98,703.57 = 19,044.29/x
  3. Step 3: Cross multiply
    65,791.42x = 98,703.57 × 19,044.29
  4. Step 4: Simplify right side
    65,791.42x = 1,879,739,315.89
  5. Step 5: Solve for x
    x = 1,879,739,315.89/65,791.42
  6. Step 6: Final answer
    x = 28,571.19

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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.