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Finding the Fourth Proportional to 48,237.20, 72,202.20 and 34,413.20

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Solution

The fourth proportional to 48,237.20, 72,202.20 and 34,413.20 is: 51,510.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,237.20 : 72,202.20 = 34,413.20 : x
  2. Step 2: Convert to fraction form
    48,237.20/72,202.20 = 34,413.20/x
  3. Step 3: Cross multiply
    48,237.20x = 72,202.20 × 34,413.20
  4. Step 4: Simplify right side
    48,237.20x = 2,484,708,749.04
  5. Step 5: Solve for x
    x = 2,484,708,749.04/48,237.20
  6. Step 6: Final answer
    x = 51,510.22

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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.