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Finding the Fourth Proportional to 82,219.60, 113,463.60 and 48,248.20

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Solution

The fourth proportional to 82,219.60, 113,463.60 and 48,248.20 is: 66,582.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,219.60 : 113,463.60 = 48,248.20 : x
  2. Step 2: Convert to fraction form
    82,219.60/113,463.60 = 48,248.20/x
  3. Step 3: Cross multiply
    82,219.60x = 113,463.60 × 48,248.20
  4. Step 4: Simplify right side
    82,219.60x = 5,474,413,898.20
  5. Step 5: Solve for x
    x = 5,474,413,898.20/82,219.60
  6. Step 6: Final answer
    x = 66,582.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.