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Finding the Fourth Proportional to 31,788.78, 47,687.63 and 9,599.64

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Solution

The fourth proportional to 31,788.78, 47,687.63 and 9,599.64 is: 14,400.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,788.78 : 47,687.63 = 9,599.64 : x
  2. Step 2: Convert to fraction form
    31,788.78/47,687.63 = 9,599.64/x
  3. Step 3: Cross multiply
    31,788.78x = 47,687.63 × 9,599.64
  4. Step 4: Simplify right side
    31,788.78x = 457,784,080.45
  5. Step 5: Solve for x
    x = 457,784,080.45/31,788.78
  6. Step 6: Final answer
    x = 14,400.81

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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.