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Finding the Fourth Proportional to 48,195.20, 72,235.20 and 24,809.60

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Solution

The fourth proportional to 48,195.20, 72,235.20 and 24,809.60 is: 37,184.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,195.20 : 72,235.20 = 24,809.60 : x
  2. Step 2: Convert to fraction form
    48,195.20/72,235.20 = 24,809.60/x
  3. Step 3: Cross multiply
    48,195.20x = 72,235.20 × 24,809.60
  4. Step 4: Simplify right side
    48,195.20x = 1,792,126,417.92
  5. Step 5: Solve for x
    x = 1,792,126,417.92/48,195.20
  6. Step 6: Final answer
    x = 37,184.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.