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Finding the Fourth Proportional to 31,472.34, 47,255.04 and 21,007.56

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Solution

The fourth proportional to 31,472.34, 47,255.04 and 21,007.56 is: 31,542.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,472.34 : 47,255.04 = 21,007.56 : x
  2. Step 2: Convert to fraction form
    31,472.34/47,255.04 = 21,007.56/x
  3. Step 3: Cross multiply
    31,472.34x = 47,255.04 × 21,007.56
  4. Step 4: Simplify right side
    31,472.34x = 992,713,088.10
  5. Step 5: Solve for x
    x = 992,713,088.10/31,472.34
  6. Step 6: Final answer
    x = 31,542.40

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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.