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Finding the Fourth Proportional to 31,800.07, 47,701.02 and 8,426.50

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Solution

The fourth proportional to 31,800.07, 47,701.02 and 8,426.50 is: 12,639.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,800.07 : 47,701.02 = 8,426.50 : x
  2. Step 2: Convert to fraction form
    31,800.07/47,701.02 = 8,426.50/x
  3. Step 3: Cross multiply
    31,800.07x = 47,701.02 × 8,426.50
  4. Step 4: Simplify right side
    31,800.07x = 401,952,645.03
  5. Step 5: Solve for x
    x = 401,952,645.03/31,800.07
  6. Step 6: Final answer
    x = 12,639.99

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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.