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Finding the Fourth Proportional to 74,782.53, 112,149.52 and 24,849.22

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Solution

The fourth proportional to 74,782.53, 112,149.52 and 24,849.22 is: 37,265.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,782.53 : 112,149.52 = 24,849.22 : x
  2. Step 2: Convert to fraction form
    74,782.53/112,149.52 = 24,849.22/x
  3. Step 3: Cross multiply
    74,782.53x = 112,149.52 × 24,849.22
  4. Step 4: Simplify right side
    74,782.53x = 2,786,828,173.44
  5. Step 5: Solve for x
    x = 2,786,828,173.44/74,782.53
  6. Step 6: Final answer
    x = 37,265.77

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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.