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Finding the Fourth Proportional to 31,858.52, 47,787.77 and 9,671.81

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Solution

The fourth proportional to 31,858.52, 47,787.77 and 9,671.81 is: 14,507.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,858.52 : 47,787.77 = 9,671.81 : x
  2. Step 2: Convert to fraction form
    31,858.52/47,787.77 = 9,671.81/x
  3. Step 3: Cross multiply
    31,858.52x = 47,787.77 × 9,671.81
  4. Step 4: Simplify right side
    31,858.52x = 462,194,017.00
  5. Step 5: Solve for x
    x = 462,194,017.00/31,858.52
  6. Step 6: Final answer
    x = 14,507.71

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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.