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Finding the Fourth Proportional to 29,892, 41,254.92 and 19,312.38

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Solution

The fourth proportional to 29,892, 41,254.92 and 19,312.38 is: 26,653.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,892 : 41,254.92 = 19,312.38 : x
  2. Step 2: Convert to fraction form
    29,892/41,254.92 = 19,312.38/x
  3. Step 3: Cross multiply
    29,892x = 41,254.92 × 19,312.38
  4. Step 4: Simplify right side
    29,892x = 796,730,691.91
  5. Step 5: Solve for x
    x = 796,730,691.91/29,892
  6. Step 6: Final answer
    x = 26,653.64

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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.