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Finding the Fourth Proportional to 38,210.31, 52,621.20 and 27,583.11

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Solution

The fourth proportional to 38,210.31, 52,621.20 and 27,583.11 is: 37,985.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,210.31 : 52,621.20 = 27,583.11 : x
  2. Step 2: Convert to fraction form
    38,210.31/52,621.20 = 27,583.11/x
  3. Step 3: Cross multiply
    38,210.31x = 52,621.20 × 27,583.11
  4. Step 4: Simplify right side
    38,210.31x = 1,451,456,347.93
  5. Step 5: Solve for x
    x = 1,451,456,347.93/38,210.31
  6. Step 6: Final answer
    x = 37,985.99

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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.