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Finding the Fourth Proportional to 72,177.72, 99,604.92 and 40,346.40

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Solution

The fourth proportional to 72,177.72, 99,604.92 and 40,346.40 is: 55,677.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,177.72 : 99,604.92 = 40,346.40 : x
  2. Step 2: Convert to fraction form
    72,177.72/99,604.92 = 40,346.40/x
  3. Step 3: Cross multiply
    72,177.72x = 99,604.92 × 40,346.40
  4. Step 4: Simplify right side
    72,177.72x = 4,018,699,944.29
  5. Step 5: Solve for x
    x = 4,018,699,944.29/72,177.72
  6. Step 6: Final answer
    x = 55,677.85

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