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Finding the Fourth Proportional to 37,867.68, 52,216.38 and 25,776

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Solution

The fourth proportional to 37,867.68, 52,216.38 and 25,776 is: 35,542.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,867.68 : 52,216.38 = 25,776 : x
  2. Step 2: Convert to fraction form
    37,867.68/52,216.38 = 25,776/x
  3. Step 3: Cross multiply
    37,867.68x = 52,216.38 × 25,776
  4. Step 4: Simplify right side
    37,867.68x = 1,345,929,410.88
  5. Step 5: Solve for x
    x = 1,345,929,410.88/37,867.68
  6. Step 6: Final answer
    x = 35,542.96

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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.