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Finding the Fourth Proportional to 72,305.43, 99,782.70 and 39,602.70

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Solution

The fourth proportional to 72,305.43, 99,782.70 and 39,602.70 is: 54,652.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,305.43 : 99,782.70 = 39,602.70 : x
  2. Step 2: Convert to fraction form
    72,305.43/99,782.70 = 39,602.70/x
  3. Step 3: Cross multiply
    72,305.43x = 99,782.70 × 39,602.70
  4. Step 4: Simplify right side
    72,305.43x = 3,951,664,333.29
  5. Step 5: Solve for x
    x = 3,951,664,333.29/72,305.43
  6. Step 6: Final answer
    x = 54,652.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.