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Finding the Fourth Proportional to 31,504.34, 47,256.51 and 21,613.64

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Solution

The fourth proportional to 31,504.34, 47,256.51 and 21,613.64 is: 32,420.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,504.34 : 47,256.51 = 21,613.64 : x
  2. Step 2: Convert to fraction form
    31,504.34/47,256.51 = 21,613.64/x
  3. Step 3: Cross multiply
    31,504.34x = 47,256.51 × 21,613.64
  4. Step 4: Simplify right side
    31,504.34x = 1,021,385,039.56
  5. Step 5: Solve for x
    x = 1,021,385,039.56/31,504.34
  6. Step 6: Final answer
    x = 32,420.45

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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.