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Finding the Fourth Proportional to 35,102.86, 48,453.48 and 27,945.94

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Solution

The fourth proportional to 35,102.86, 48,453.48 and 27,945.94 is: 38,574.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,102.86 : 48,453.48 = 27,945.94 : x
  2. Step 2: Convert to fraction form
    35,102.86/48,453.48 = 27,945.94/x
  3. Step 3: Cross multiply
    35,102.86x = 48,453.48 × 27,945.94
  4. Step 4: Simplify right side
    35,102.86x = 1,354,078,044.87
  5. Step 5: Solve for x
    x = 1,354,078,044.87/35,102.86
  6. Step 6: Final answer
    x = 38,574.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.