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Finding the Fourth Proportional to 31,895.50, 47,850.09 and 9,710.68

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Solution

The fourth proportional to 31,895.50, 47,850.09 and 9,710.68 is: 14,568.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,895.50 : 47,850.09 = 9,710.68 : x
  2. Step 2: Convert to fraction form
    31,895.50/47,850.09 = 9,710.68/x
  3. Step 3: Cross multiply
    31,895.50x = 47,850.09 × 9,710.68
  4. Step 4: Simplify right side
    31,895.50x = 464,656,911.96
  5. Step 5: Solve for x
    x = 464,656,911.96/31,895.50
  6. Step 6: Final answer
    x = 14,568.10

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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.