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Finding the Fourth Proportional to 54,702.24, 82,054 and 15,256.94

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Solution

The fourth proportional to 54,702.24, 82,054 and 15,256.94 is: 22,885.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,702.24 : 82,054 = 15,256.94 : x
  2. Step 2: Convert to fraction form
    54,702.24/82,054 = 15,256.94/x
  3. Step 3: Cross multiply
    54,702.24x = 82,054 × 15,256.94
  4. Step 4: Simplify right side
    54,702.24x = 1,251,892,954.76
  5. Step 5: Solve for x
    x = 1,251,892,954.76/54,702.24
  6. Step 6: Final answer
    x = 22,885.59

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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.