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Finding the Fourth Proportional to 37,214.88, 51,338.52 and 24,650.16

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Solution

The fourth proportional to 37,214.88, 51,338.52 and 24,650.16 is: 34,005.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,214.88 : 51,338.52 = 24,650.16 : x
  2. Step 2: Convert to fraction form
    37,214.88/51,338.52 = 24,650.16/x
  3. Step 3: Cross multiply
    37,214.88x = 51,338.52 × 24,650.16
  4. Step 4: Simplify right side
    37,214.88x = 1,265,502,732.16
  5. Step 5: Solve for x
    x = 1,265,502,732.16/37,214.88
  6. Step 6: Final answer
    x = 34,005.29

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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.