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Finding the Fourth Proportional to 48,502.44, 72,745.38 and 13,433.88

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Solution

The fourth proportional to 48,502.44, 72,745.38 and 13,433.88 is: 20,148.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,502.44 : 72,745.38 = 13,433.88 : x
  2. Step 2: Convert to fraction form
    48,502.44/72,745.38 = 13,433.88/x
  3. Step 3: Cross multiply
    48,502.44x = 72,745.38 × 13,433.88
  4. Step 4: Simplify right side
    48,502.44x = 977,252,705.47
  5. Step 5: Solve for x
    x = 977,252,705.47/48,502.44
  6. Step 6: Final answer
    x = 20,148.53

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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.