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Finding the Fourth Proportional to 37,840.88, 52,229.16 and 21,934.16

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Solution

The fourth proportional to 37,840.88, 52,229.16 and 21,934.16 is: 30,274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,840.88 : 52,229.16 = 21,934.16 : x
  2. Step 2: Convert to fraction form
    37,840.88/52,229.16 = 21,934.16/x
  3. Step 3: Cross multiply
    37,840.88x = 52,229.16 × 21,934.16
  4. Step 4: Simplify right side
    37,840.88x = 1,145,602,752.11
  5. Step 5: Solve for x
    x = 1,145,602,752.11/37,840.88
  6. Step 6: Final answer
    x = 30,274.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.