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Finding the Fourth Proportional to 61,633.64, 85,054.44 and 34,781.84

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Solution

The fourth proportional to 61,633.64, 85,054.44 and 34,781.84 is: 47,998.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,633.64 : 85,054.44 = 34,781.84 : x
  2. Step 2: Convert to fraction form
    61,633.64/85,054.44 = 34,781.84/x
  3. Step 3: Cross multiply
    61,633.64x = 85,054.44 × 34,781.84
  4. Step 4: Simplify right side
    61,633.64x = 2,958,349,923.37
  5. Step 5: Solve for x
    x = 2,958,349,923.37/61,633.64
  6. Step 6: Final answer
    x = 47,998.95

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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.