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Finding the Fourth Proportional to 82,105.50, 123,158.28 and 19,776

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Solution

The fourth proportional to 82,105.50, 123,158.28 and 19,776 is: 29,664.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,105.50 : 123,158.28 = 19,776 : x
  2. Step 2: Convert to fraction form
    82,105.50/123,158.28 = 19,776/x
  3. Step 3: Cross multiply
    82,105.50x = 123,158.28 × 19,776
  4. Step 4: Simplify right side
    82,105.50x = 2,435,578,145.28
  5. Step 5: Solve for x
    x = 2,435,578,145.28/82,105.50
  6. Step 6: Final answer
    x = 29,664.01

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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.