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Finding the Fourth Proportional to 38,209.56, 52,726.82 and 21,212.82

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Solution

The fourth proportional to 38,209.56, 52,726.82 and 21,212.82 is: 29,272.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,209.56 : 52,726.82 = 21,212.82 : x
  2. Step 2: Convert to fraction form
    38,209.56/52,726.82 = 21,212.82/x
  3. Step 3: Cross multiply
    38,209.56x = 52,726.82 × 21,212.82
  4. Step 4: Simplify right side
    38,209.56x = 1,118,484,541.83
  5. Step 5: Solve for x
    x = 1,118,484,541.83/38,209.56
  6. Step 6: Final answer
    x = 29,272.37

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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.