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Finding the Fourth Proportional to 31,779, 47,653.02 and 9,588.20

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Solution

The fourth proportional to 31,779, 47,653.02 and 9,588.20 is: 14,377.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,779 : 47,653.02 = 9,588.20 : x
  2. Step 2: Convert to fraction form
    31,779/47,653.02 = 9,588.20/x
  3. Step 3: Cross multiply
    31,779x = 47,653.02 × 9,588.20
  4. Step 4: Simplify right side
    31,779x = 456,906,686.36
  5. Step 5: Solve for x
    x = 456,906,686.36/31,779
  6. Step 6: Final answer
    x = 14,377.63

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Why These Related Problems?

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