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Finding the Fourth Proportional to 38,054.31, 52,525.52 and 22,141.85

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Solution

The fourth proportional to 38,054.31, 52,525.52 and 22,141.85 is: 30,561.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,054.31 : 52,525.52 = 22,141.85 : x
  2. Step 2: Convert to fraction form
    38,054.31/52,525.52 = 22,141.85/x
  3. Step 3: Cross multiply
    38,054.31x = 52,525.52 × 22,141.85
  4. Step 4: Simplify right side
    38,054.31x = 1,163,011,811.68
  5. Step 5: Solve for x
    x = 1,163,011,811.68/38,054.31
  6. Step 6: Final answer
    x = 30,561.89

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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.