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Finding the Fourth Proportional to 47,751, 71,670.24 and 24,393.84

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Solution

The fourth proportional to 47,751, 71,670.24 and 24,393.84 is: 36,613.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,751 : 71,670.24 = 24,393.84 : x
  2. Step 2: Convert to fraction form
    47,751/71,670.24 = 24,393.84/x
  3. Step 3: Cross multiply
    47,751x = 71,670.24 × 24,393.84
  4. Step 4: Simplify right side
    47,751x = 1,748,312,367.32
  5. Step 5: Solve for x
    x = 1,748,312,367.32/47,751
  6. Step 6: Final answer
    x = 36,613.10

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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.