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Finding the Fourth Proportional to 57,762.66, 86,446.85 and 48,413.24

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Solution

The fourth proportional to 57,762.66, 86,446.85 and 48,413.24 is: 72,454.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,762.66 : 86,446.85 = 48,413.24 : x
  2. Step 2: Convert to fraction form
    57,762.66/86,446.85 = 48,413.24/x
  3. Step 3: Cross multiply
    57,762.66x = 86,446.85 × 48,413.24
  4. Step 4: Simplify right side
    57,762.66x = 4,185,171,421.99
  5. Step 5: Solve for x
    x = 4,185,171,421.99/57,762.66
  6. Step 6: Final answer
    x = 72,454.62

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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.