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Finding the Fourth Proportional to 82,670, 124,005.06 and 27,266

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Solution

The fourth proportional to 82,670, 124,005.06 and 27,266 is: 40,899.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,670 : 124,005.06 = 27,266 : x
  2. Step 2: Convert to fraction form
    82,670/124,005.06 = 27,266/x
  3. Step 3: Cross multiply
    82,670x = 124,005.06 × 27,266
  4. Step 4: Simplify right side
    82,670x = 3,381,121,965.96
  5. Step 5: Solve for x
    x = 3,381,121,965.96/82,670
  6. Step 6: Final answer
    x = 40,899.02

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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.