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Finding the Fourth Proportional to 72,031.50, 99,413.49 and 40,202.44

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Solution

The fourth proportional to 72,031.50, 99,413.49 and 40,202.44 is: 55,484.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,031.50 : 99,413.49 = 40,202.44 : x
  2. Step 2: Convert to fraction form
    72,031.50/99,413.49 = 40,202.44/x
  3. Step 3: Cross multiply
    72,031.50x = 99,413.49 × 40,202.44
  4. Step 4: Simplify right side
    72,031.50x = 3,996,664,866.92
  5. Step 5: Solve for x
    x = 3,996,664,866.92/72,031.50
  6. Step 6: Final answer
    x = 55,484.96

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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.