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Finding the Fourth Proportional to 31,808.84, 47,717.24 and 10,461.15

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Solution

The fourth proportional to 31,808.84, 47,717.24 and 10,461.15 is: 15,693.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,808.84 : 47,717.24 = 10,461.15 : x
  2. Step 2: Convert to fraction form
    31,808.84/47,717.24 = 10,461.15/x
  3. Step 3: Cross multiply
    31,808.84x = 47,717.24 × 10,461.15
  4. Step 4: Simplify right side
    31,808.84x = 499,177,152.92
  5. Step 5: Solve for x
    x = 499,177,152.92/31,808.84
  6. Step 6: Final answer
    x = 15,693.03

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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.