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Finding the Fourth Proportional to 51,503.86, 71,082.38 and 31,086.98

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Solution

The fourth proportional to 51,503.86, 71,082.38 and 31,086.98 is: 42,904.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,503.86 : 71,082.38 = 31,086.98 : x
  2. Step 2: Convert to fraction form
    51,503.86/71,082.38 = 31,086.98/x
  3. Step 3: Cross multiply
    51,503.86x = 71,082.38 × 31,086.98
  4. Step 4: Simplify right side
    51,503.86x = 2,209,736,514.28
  5. Step 5: Solve for x
    x = 2,209,736,514.28/51,503.86
  6. Step 6: Final answer
    x = 42,904.29

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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.