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Finding the Fourth Proportional to 44,857.39, 61,904.82 and 27,871

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Solution

The fourth proportional to 44,857.39, 61,904.82 and 27,871 is: 38,462.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,857.39 : 61,904.82 = 27,871 : x
  2. Step 2: Convert to fraction form
    44,857.39/61,904.82 = 27,871/x
  3. Step 3: Cross multiply
    44,857.39x = 61,904.82 × 27,871
  4. Step 4: Simplify right side
    44,857.39x = 1,725,349,238.22
  5. Step 5: Solve for x
    x = 1,725,349,238.22/44,857.39
  6. Step 6: Final answer
    x = 38,462.99

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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.