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Finding the Fourth Proportional to 31,977.61, 47,958.22 and 9,483.02

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Solution

The fourth proportional to 31,977.61, 47,958.22 and 9,483.02 is: 14,222.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,977.61 : 47,958.22 = 9,483.02 : x
  2. Step 2: Convert to fraction form
    31,977.61/47,958.22 = 9,483.02/x
  3. Step 3: Cross multiply
    31,977.61x = 47,958.22 × 9,483.02
  4. Step 4: Simplify right side
    31,977.61x = 454,788,711.33
  5. Step 5: Solve for x
    x = 454,788,711.33/31,977.61
  6. Step 6: Final answer
    x = 14,222.10

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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.