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Finding the Fourth Proportional to 31,973.15, 47,959.65 and 8,599.61

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Solution

The fourth proportional to 31,973.15, 47,959.65 and 8,599.61 is: 12,899.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,973.15 : 47,959.65 = 8,599.61 : x
  2. Step 2: Convert to fraction form
    31,973.15/47,959.65 = 8,599.61/x
  3. Step 3: Cross multiply
    31,973.15x = 47,959.65 × 8,599.61
  4. Step 4: Simplify right side
    31,973.15x = 412,434,285.74
  5. Step 5: Solve for x
    x = 412,434,285.74/31,973.15
  6. Step 6: Final answer
    x = 12,899.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.