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Finding the Fourth Proportional to 48,611.86, 72,917.01 and 29,642.06

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Solution

The fourth proportional to 48,611.86, 72,917.01 and 29,642.06 is: 44,462.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,611.86 : 72,917.01 = 29,642.06 : x
  2. Step 2: Convert to fraction form
    48,611.86/72,917.01 = 29,642.06/x
  3. Step 3: Cross multiply
    48,611.86x = 72,917.01 × 29,642.06
  4. Step 4: Simplify right side
    48,611.86x = 2,161,410,567.73
  5. Step 5: Solve for x
    x = 2,161,410,567.73/48,611.86
  6. Step 6: Final answer
    x = 44,462.62

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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.