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Finding the Fourth Proportional to 31,686.58, 47,530.23 and 8,315.38

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Solution

The fourth proportional to 31,686.58, 47,530.23 and 8,315.38 is: 12,473.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,686.58 : 47,530.23 = 8,315.38 : x
  2. Step 2: Convert to fraction form
    31,686.58/47,530.23 = 8,315.38/x
  3. Step 3: Cross multiply
    31,686.58x = 47,530.23 × 8,315.38
  4. Step 4: Simplify right side
    31,686.58x = 395,231,923.94
  5. Step 5: Solve for x
    x = 395,231,923.94/31,686.58
  6. Step 6: Final answer
    x = 12,473.16

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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.