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Finding the Fourth Proportional to 31,775.63, 47,664.69 and 9,589.01

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Solution

The fourth proportional to 31,775.63, 47,664.69 and 9,589.01 is: 14,383.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,775.63 : 47,664.69 = 9,589.01 : x
  2. Step 2: Convert to fraction form
    31,775.63/47,664.69 = 9,589.01/x
  3. Step 3: Cross multiply
    31,775.63x = 47,664.69 × 9,589.01
  4. Step 4: Simplify right side
    31,775.63x = 457,056,950.73
  5. Step 5: Solve for x
    x = 457,056,950.73/31,775.63
  6. Step 6: Final answer
    x = 14,383.89

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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.