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Finding the Fourth Proportional to 71,648.21, 107,473.34 and 27,277.39

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Solution

The fourth proportional to 71,648.21, 107,473.34 and 27,277.39 is: 40,916.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,648.21 : 107,473.34 = 27,277.39 : x
  2. Step 2: Convert to fraction form
    71,648.21/107,473.34 = 27,277.39/x
  3. Step 3: Cross multiply
    71,648.21x = 107,473.34 × 27,277.39
  4. Step 4: Simplify right side
    71,648.21x = 2,931,592,478.47
  5. Step 5: Solve for x
    x = 2,931,592,478.47/71,648.21
  6. Step 6: Final answer
    x = 40,916.48

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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.