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Finding the Fourth Proportional to 38,338.50, 52,911.99 and 21,574.74

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Solution

The fourth proportional to 38,338.50, 52,911.99 and 21,574.74 is: 29,775.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,338.50 : 52,911.99 = 21,574.74 : x
  2. Step 2: Convert to fraction form
    38,338.50/52,911.99 = 21,574.74/x
  3. Step 3: Cross multiply
    38,338.50x = 52,911.99 × 21,574.74
  4. Step 4: Simplify right side
    38,338.50x = 1,141,562,427.13
  5. Step 5: Solve for x
    x = 1,141,562,427.13/38,338.50
  6. Step 6: Final answer
    x = 29,775.88

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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.