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Finding the Fourth Proportional to 51,894.44, 71,631.24 and 38,461.40

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Solution

The fourth proportional to 51,894.44, 71,631.24 and 38,461.40 is: 53,089.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,894.44 : 71,631.24 = 38,461.40 : x
  2. Step 2: Convert to fraction form
    51,894.44/71,631.24 = 38,461.40/x
  3. Step 3: Cross multiply
    51,894.44x = 71,631.24 × 38,461.40
  4. Step 4: Simplify right side
    51,894.44x = 2,755,037,774.14
  5. Step 5: Solve for x
    x = 2,755,037,774.14/51,894.44
  6. Step 6: Final answer
    x = 53,089.27

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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.