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Finding the Fourth Proportional to 31,596.35, 47,353.55 and 12,854.61

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Solution

The fourth proportional to 31,596.35, 47,353.55 and 12,854.61 is: 19,265.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,596.35 : 47,353.55 = 12,854.61 : x
  2. Step 2: Convert to fraction form
    31,596.35/47,353.55 = 12,854.61/x
  3. Step 3: Cross multiply
    31,596.35x = 47,353.55 × 12,854.61
  4. Step 4: Simplify right side
    31,596.35x = 608,711,353.09
  5. Step 5: Solve for x
    x = 608,711,353.09/31,596.35
  6. Step 6: Final answer
    x = 19,265.25

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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.