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Finding the Fourth Proportional to 31,776.30, 47,664.81 and 9,589.89

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Solution

The fourth proportional to 31,776.30, 47,664.81 and 9,589.89 is: 14,384.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,776.30 : 47,664.81 = 9,589.89 : x
  2. Step 2: Convert to fraction form
    31,776.30/47,664.81 = 9,589.89/x
  3. Step 3: Cross multiply
    31,776.30x = 47,664.81 × 9,589.89
  4. Step 4: Simplify right side
    31,776.30x = 457,100,284.77
  5. Step 5: Solve for x
    x = 457,100,284.77/31,776.30
  6. Step 6: Final answer
    x = 14,384.94

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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.