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Finding the Fourth Proportional to 61,054.93, 84,256.03 and 35,578.78

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Solution

The fourth proportional to 61,054.93, 84,256.03 and 35,578.78 is: 49,098.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,054.93 : 84,256.03 = 35,578.78 : x
  2. Step 2: Convert to fraction form
    61,054.93/84,256.03 = 35,578.78/x
  3. Step 3: Cross multiply
    61,054.93x = 84,256.03 × 35,578.78
  4. Step 4: Simplify right side
    61,054.93x = 2,997,726,588.88
  5. Step 5: Solve for x
    x = 2,997,726,588.88/61,054.93
  6. Step 6: Final answer
    x = 49,098.84

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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.