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Finding the Fourth Proportional to 31,872.42, 47,808.58 and 9,685.70

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Solution

The fourth proportional to 31,872.42, 47,808.58 and 9,685.70 is: 14,528.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,872.42 : 47,808.58 = 9,685.70 : x
  2. Step 2: Convert to fraction form
    31,872.42/47,808.58 = 9,685.70/x
  3. Step 3: Cross multiply
    31,872.42x = 47,808.58 × 9,685.70
  4. Step 4: Simplify right side
    31,872.42x = 463,059,563.31
  5. Step 5: Solve for x
    x = 463,059,563.31/31,872.42
  6. Step 6: Final answer
    x = 14,528.53

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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.