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Finding the Fourth Proportional to 82,119.66, 123,410.34 and 48,845.76

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Solution

The fourth proportional to 82,119.66, 123,410.34 and 48,845.76 is: 73,405.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,119.66 : 123,410.34 = 48,845.76 : x
  2. Step 2: Convert to fraction form
    82,119.66/123,410.34 = 48,845.76/x
  3. Step 3: Cross multiply
    82,119.66x = 123,410.34 × 48,845.76
  4. Step 4: Simplify right side
    82,119.66x = 6,028,071,849.16
  5. Step 5: Solve for x
    x = 6,028,071,849.16/82,119.66
  6. Step 6: Final answer
    x = 73,405.95

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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.