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Finding the Fourth Proportional to 31,613.70, 47,410.38 and 17,580.42

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Solution

The fourth proportional to 31,613.70, 47,410.38 and 17,580.42 is: 26,364.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,613.70 : 47,410.38 = 17,580.42 : x
  2. Step 2: Convert to fraction form
    31,613.70/47,410.38 = 17,580.42/x
  3. Step 3: Cross multiply
    31,613.70x = 47,410.38 × 17,580.42
  4. Step 4: Simplify right side
    31,613.70x = 833,494,392.76
  5. Step 5: Solve for x
    x = 833,494,392.76/31,613.70
  6. Step 6: Final answer
    x = 26,364.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.