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Finding the Fourth Proportional to 37,114, 51,178.84 and 25,796.28

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Solution

The fourth proportional to 37,114, 51,178.84 and 25,796.28 is: 35,572.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,114 : 51,178.84 = 25,796.28 : x
  2. Step 2: Convert to fraction form
    37,114/51,178.84 = 25,796.28/x
  3. Step 3: Cross multiply
    37,114x = 51,178.84 × 25,796.28
  4. Step 4: Simplify right side
    37,114x = 1,320,223,686.72
  5. Step 5: Solve for x
    x = 1,320,223,686.72/37,114
  6. Step 6: Final answer
    x = 35,572.12

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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.