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Finding the Fourth Proportional to 82,043.92, 123,018.90 and 48,787.21

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Solution

The fourth proportional to 82,043.92, 123,018.90 and 48,787.21 is: 73,152.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,043.92 : 123,018.90 = 48,787.21 : x
  2. Step 2: Convert to fraction form
    82,043.92/123,018.90 = 48,787.21/x
  3. Step 3: Cross multiply
    82,043.92x = 123,018.90 × 48,787.21
  4. Step 4: Simplify right side
    82,043.92x = 6,001,748,908.27
  5. Step 5: Solve for x
    x = 6,001,748,908.27/82,043.92
  6. Step 6: Final answer
    x = 73,152.88

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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.