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Finding the Fourth Proportional to 31,688.76, 47,529.54 and 8,317.02

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Solution

The fourth proportional to 31,688.76, 47,529.54 and 8,317.02 is: 12,474.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,688.76 : 47,529.54 = 8,317.02 : x
  2. Step 2: Convert to fraction form
    31,688.76/47,529.54 = 8,317.02/x
  3. Step 3: Cross multiply
    31,688.76x = 47,529.54 × 8,317.02
  4. Step 4: Simplify right side
    31,688.76x = 395,304,134.77
  5. Step 5: Solve for x
    x = 395,304,134.77/31,688.76
  6. Step 6: Final answer
    x = 12,474.59

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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.