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Finding the Fourth Proportional to 38,026, 52,476.06 and 21,262.24

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Solution

The fourth proportional to 38,026, 52,476.06 and 21,262.24 is: 29,341.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,026 : 52,476.06 = 21,262.24 : x
  2. Step 2: Convert to fraction form
    38,026/52,476.06 = 21,262.24/x
  3. Step 3: Cross multiply
    38,026x = 52,476.06 × 21,262.24
  4. Step 4: Simplify right side
    38,026x = 1,115,758,581.97
  5. Step 5: Solve for x
    x = 1,115,758,581.97/38,026
  6. Step 6: Final answer
    x = 29,341.99

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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.