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Finding the Fourth Proportional to 61,125.81, 84,353.91 and 35,649.84

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Solution

The fourth proportional to 61,125.81, 84,353.91 and 35,649.84 is: 49,196.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,125.81 : 84,353.91 = 35,649.84 : x
  2. Step 2: Convert to fraction form
    61,125.81/84,353.91 = 35,649.84/x
  3. Step 3: Cross multiply
    61,125.81x = 84,353.91 × 35,649.84
  4. Step 4: Simplify right side
    61,125.81x = 3,007,203,394.87
  5. Step 5: Solve for x
    x = 3,007,203,394.87/61,125.81
  6. Step 6: Final answer
    x = 49,196.95

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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.