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Finding the Fourth Proportional to 37,896, 52,296.48 and 21,129

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Solution

The fourth proportional to 37,896, 52,296.48 and 21,129 is: 29,158.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,896 : 52,296.48 = 21,129 : x
  2. Step 2: Convert to fraction form
    37,896/52,296.48 = 21,129/x
  3. Step 3: Cross multiply
    37,896x = 52,296.48 × 21,129
  4. Step 4: Simplify right side
    37,896x = 1,104,972,325.92
  5. Step 5: Solve for x
    x = 1,104,972,325.92/37,896
  6. Step 6: Final answer
    x = 29,158.02

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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.