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Finding the Fourth Proportional to 29,092, 40,146.96 and 15,844

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Solution

The fourth proportional to 29,092, 40,146.96 and 15,844 is: 21,864.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,092 : 40,146.96 = 15,844 : x
  2. Step 2: Convert to fraction form
    29,092/40,146.96 = 15,844/x
  3. Step 3: Cross multiply
    29,092x = 40,146.96 × 15,844
  4. Step 4: Simplify right side
    29,092x = 636,088,434.24
  5. Step 5: Solve for x
    x = 636,088,434.24/29,092
  6. Step 6: Final answer
    x = 21,864.72

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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.