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Finding the Fourth Proportional to 84,679.30, 116,857.29 and 48,869.30

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Solution

The fourth proportional to 84,679.30, 116,857.29 and 48,869.30 is: 67,439.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,679.30 : 116,857.29 = 48,869.30 : x
  2. Step 2: Convert to fraction form
    84,679.30/116,857.29 = 48,869.30/x
  3. Step 3: Cross multiply
    84,679.30x = 116,857.29 × 48,869.30
  4. Step 4: Simplify right side
    84,679.30x = 5,710,733,962.20
  5. Step 5: Solve for x
    x = 5,710,733,962.20/84,679.30
  6. Step 6: Final answer
    x = 67,439.55

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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.