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Finding the Fourth Proportional to 61,582.16, 92,142.56 and 43,853.78

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Solution

The fourth proportional to 61,582.16, 92,142.56 and 43,853.78 is: 65,616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,582.16 : 92,142.56 = 43,853.78 : x
  2. Step 2: Convert to fraction form
    61,582.16/92,142.56 = 43,853.78/x
  3. Step 3: Cross multiply
    61,582.16x = 92,142.56 × 43,853.78
  4. Step 4: Simplify right side
    61,582.16x = 4,040,798,874.90
  5. Step 5: Solve for x
    x = 4,040,798,874.90/61,582.16
  6. Step 6: Final answer
    x = 65,616.39

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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.