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Finding the Fourth Proportional to 102,650.86, 153,976.14 and 32,524.71

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Solution

The fourth proportional to 102,650.86, 153,976.14 and 32,524.71 is: 48,787.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,650.86 : 153,976.14 = 32,524.71 : x
  2. Step 2: Convert to fraction form
    102,650.86/153,976.14 = 32,524.71/x
  3. Step 3: Cross multiply
    102,650.86x = 153,976.14 × 32,524.71
  4. Step 4: Simplify right side
    102,650.86x = 5,008,029,300.42
  5. Step 5: Solve for x
    x = 5,008,029,300.42/102,650.86
  6. Step 6: Final answer
    x = 48,787.02

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