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Finding the Fourth Proportional to 51,203.34, 70,644.42 and 40,414.14

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Solution

The fourth proportional to 51,203.34, 70,644.42 and 40,414.14 is: 55,758.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,203.34 : 70,644.42 = 40,414.14 : x
  2. Step 2: Convert to fraction form
    51,203.34/70,644.42 = 40,414.14/x
  3. Step 3: Cross multiply
    51,203.34x = 70,644.42 × 40,414.14
  4. Step 4: Simplify right side
    51,203.34x = 2,855,033,480.10
  5. Step 5: Solve for x
    x = 2,855,033,480.10/51,203.34
  6. Step 6: Final answer
    x = 55,758.74

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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.