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Finding the Fourth Proportional to 31,504.30, 47,256.45 and 14,008.30

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Solution

The fourth proportional to 31,504.30, 47,256.45 and 14,008.30 is: 21,012.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,504.30 : 47,256.45 = 14,008.30 : x
  2. Step 2: Convert to fraction form
    31,504.30/47,256.45 = 14,008.30/x
  3. Step 3: Cross multiply
    31,504.30x = 47,256.45 × 14,008.30
  4. Step 4: Simplify right side
    31,504.30x = 661,982,528.54
  5. Step 5: Solve for x
    x = 661,982,528.54/31,504.30
  6. Step 6: Final answer
    x = 21,012.45

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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.