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Finding the Fourth Proportional to 37,840.38, 52,219.74 and 21,934.06

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Solution

The fourth proportional to 37,840.38, 52,219.74 and 21,934.06 is: 30,269.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,840.38 : 52,219.74 = 21,934.06 : x
  2. Step 2: Convert to fraction form
    37,840.38/52,219.74 = 21,934.06/x
  3. Step 3: Cross multiply
    37,840.38x = 52,219.74 × 21,934.06
  4. Step 4: Simplify right side
    37,840.38x = 1,145,390,965.18
  5. Step 5: Solve for x
    x = 1,145,390,965.18/37,840.38
  6. Step 6: Final answer
    x = 30,269.01

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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.