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Finding the Fourth Proportional to 24,832.78, 37,248.86 and 6,113.05

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Solution

The fourth proportional to 24,832.78, 37,248.86 and 6,113.05 is: 9,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,832.78 : 37,248.86 = 6,113.05 : x
  2. Step 2: Convert to fraction form
    24,832.78/37,248.86 = 6,113.05/x
  3. Step 3: Cross multiply
    24,832.78x = 37,248.86 × 6,113.05
  4. Step 4: Simplify right side
    24,832.78x = 227,704,113.06
  5. Step 5: Solve for x
    x = 227,704,113.06/24,832.78
  6. Step 6: Final answer
    x = 9,169.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.