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Finding the Fourth Proportional to 38,057.54, 52,518.10 and 21,062.50

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Solution

The fourth proportional to 38,057.54, 52,518.10 and 21,062.50 is: 29,065.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,057.54 : 52,518.10 = 21,062.50 : x
  2. Step 2: Convert to fraction form
    38,057.54/52,518.10 = 21,062.50/x
  3. Step 3: Cross multiply
    38,057.54x = 52,518.10 × 21,062.50
  4. Step 4: Simplify right side
    38,057.54x = 1,106,162,481.25
  5. Step 5: Solve for x
    x = 1,106,162,481.25/38,057.54
  6. Step 6: Final answer
    x = 29,065.53

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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.