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Finding the Fourth Proportional to 31,599.36, 47,358.03 and 12,857.61

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Solution

The fourth proportional to 31,599.36, 47,358.03 and 12,857.61 is: 19,269.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,599.36 : 47,358.03 = 12,857.61 : x
  2. Step 2: Convert to fraction form
    31,599.36/47,358.03 = 12,857.61/x
  3. Step 3: Cross multiply
    31,599.36x = 47,358.03 × 12,857.61
  4. Step 4: Simplify right side
    31,599.36x = 608,911,080.11
  5. Step 5: Solve for x
    x = 608,911,080.11/31,599.36
  6. Step 6: Final answer
    x = 19,269.73

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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.