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Finding the Fourth Proportional to 92,732.55, 138,997.34 and 47,756.63

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Solution

The fourth proportional to 92,732.55, 138,997.34 and 47,756.63 is: 71,582.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,732.55 : 138,997.34 = 47,756.63 : x
  2. Step 2: Convert to fraction form
    92,732.55/138,997.34 = 47,756.63/x
  3. Step 3: Cross multiply
    92,732.55x = 138,997.34 × 47,756.63
  4. Step 4: Simplify right side
    92,732.55x = 6,638,044,311.93
  5. Step 5: Solve for x
    x = 6,638,044,311.93/92,732.55
  6. Step 6: Final answer
    x = 71,582.68

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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.