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Finding the Fourth Proportional to 31,505.20, 47,256.59 and 7,812.80

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Solution

The fourth proportional to 31,505.20, 47,256.59 and 7,812.80 is: 11,718.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,505.20 : 47,256.59 = 7,812.80 : x
  2. Step 2: Convert to fraction form
    31,505.20/47,256.59 = 7,812.80/x
  3. Step 3: Cross multiply
    31,505.20x = 47,256.59 × 7,812.80
  4. Step 4: Simplify right side
    31,505.20x = 369,206,490.66
  5. Step 5: Solve for x
    x = 369,206,490.66/31,505.20
  6. Step 6: Final answer
    x = 11,718.91

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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.