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Finding the Fourth Proportional to 73,699.29, 110,456.43 and 31,529.77

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Solution

The fourth proportional to 73,699.29, 110,456.43 and 31,529.77 is: 47,255.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,699.29 : 110,456.43 = 31,529.77 : x
  2. Step 2: Convert to fraction form
    73,699.29/110,456.43 = 31,529.77/x
  3. Step 3: Cross multiply
    73,699.29x = 110,456.43 × 31,529.77
  4. Step 4: Simplify right side
    73,699.29x = 3,482,665,832.92
  5. Step 5: Solve for x
    x = 3,482,665,832.92/73,699.29
  6. Step 6: Final answer
    x = 47,255.08

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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.