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Finding the Fourth Proportional to 102,364.72, 153,561.84 and 32,249.68

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Solution

The fourth proportional to 102,364.72, 153,561.84 and 32,249.68 is: 48,379.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,364.72 : 153,561.84 = 32,249.68 : x
  2. Step 2: Convert to fraction form
    102,364.72/153,561.84 = 32,249.68/x
  3. Step 3: Cross multiply
    102,364.72x = 153,561.84 × 32,249.68
  4. Step 4: Simplify right side
    102,364.72x = 4,952,320,200.21
  5. Step 5: Solve for x
    x = 4,952,320,200.21/102,364.72
  6. Step 6: Final answer
    x = 48,379.17

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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.