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Finding the Fourth Proportional to 38,012.84, 52,459.55 and 21,016.77

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Solution

The fourth proportional to 38,012.84, 52,459.55 and 21,016.77 is: 29,004.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,012.84 : 52,459.55 = 21,016.77 : x
  2. Step 2: Convert to fraction form
    38,012.84/52,459.55 = 21,016.77/x
  3. Step 3: Cross multiply
    38,012.84x = 52,459.55 × 21,016.77
  4. Step 4: Simplify right side
    38,012.84x = 1,102,530,296.65
  5. Step 5: Solve for x
    x = 1,102,530,296.65/38,012.84
  6. Step 6: Final answer
    x = 29,004.15

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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.