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Finding the Fourth Proportional to 48,827.60, 73,219.80 and 22,518.80

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Solution

The fourth proportional to 48,827.60, 73,219.80 and 22,518.80 is: 33,768.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,827.60 : 73,219.80 = 22,518.80 : x
  2. Step 2: Convert to fraction form
    48,827.60/73,219.80 = 22,518.80/x
  3. Step 3: Cross multiply
    48,827.60x = 73,219.80 × 22,518.80
  4. Step 4: Simplify right side
    48,827.60x = 1,648,822,032.24
  5. Step 5: Solve for x
    x = 1,648,822,032.24/48,827.60
  6. Step 6: Final answer
    x = 33,768.24

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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.