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Finding the Fourth Proportional to 54,383, 75,049.28 and 40,746.85

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Solution

The fourth proportional to 54,383, 75,049.28 and 40,746.85 is: 56,231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,383 : 75,049.28 = 40,746.85 : x
  2. Step 2: Convert to fraction form
    54,383/75,049.28 = 40,746.85/x
  3. Step 3: Cross multiply
    54,383x = 75,049.28 × 40,746.85
  4. Step 4: Simplify right side
    54,383x = 3,058,021,754.77
  5. Step 5: Solve for x
    x = 3,058,021,754.77/54,383
  6. Step 6: Final answer
    x = 56,231.21

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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.