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Finding the Fourth Proportional to 52,085.78, 77,906.17 and 43,484.94

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Solution

The fourth proportional to 52,085.78, 77,906.17 and 43,484.94 is: 65,041.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,085.78 : 77,906.17 = 43,484.94 : x
  2. Step 2: Convert to fraction form
    52,085.78/77,906.17 = 43,484.94/x
  3. Step 3: Cross multiply
    52,085.78x = 77,906.17 × 43,484.94
  4. Step 4: Simplify right side
    52,085.78x = 3,387,745,352.28
  5. Step 5: Solve for x
    x = 3,387,745,352.28/52,085.78
  6. Step 6: Final answer
    x = 65,041.66

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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.