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Finding the Fourth Proportional to 37,982, 52,415.16 and 21,215.36

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Solution

The fourth proportional to 37,982, 52,415.16 and 21,215.36 is: 29,277.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,982 : 52,415.16 = 21,215.36 : x
  2. Step 2: Convert to fraction form
    37,982/52,415.16 = 21,215.36/x
  3. Step 3: Cross multiply
    37,982x = 52,415.16 × 21,215.36
  4. Step 4: Simplify right side
    37,982x = 1,112,006,488.86
  5. Step 5: Solve for x
    x = 1,112,006,488.86/37,982
  6. Step 6: Final answer
    x = 29,277.20

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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.