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Finding the Fourth Proportional to 31,787.79, 47,682.49 and 9,601.89

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Solution

The fourth proportional to 31,787.79, 47,682.49 and 9,601.89 is: 14,403.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,787.79 : 47,682.49 = 9,601.89 : x
  2. Step 2: Convert to fraction form
    31,787.79/47,682.49 = 9,601.89/x
  3. Step 3: Cross multiply
    31,787.79x = 47,682.49 × 9,601.89
  4. Step 4: Simplify right side
    31,787.79x = 457,842,023.91
  5. Step 5: Solve for x
    x = 457,842,023.91/31,787.79
  6. Step 6: Final answer
    x = 14,403.08

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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.