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Finding the Fourth Proportional to 31,968.84, 47,952.18 and 8,594.04

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Solution

The fourth proportional to 31,968.84, 47,952.18 and 8,594.04 is: 12,890.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,968.84 : 47,952.18 = 8,594.04 : x
  2. Step 2: Convert to fraction form
    31,968.84/47,952.18 = 8,594.04/x
  3. Step 3: Cross multiply
    31,968.84x = 47,952.18 × 8,594.04
  4. Step 4: Simplify right side
    31,968.84x = 412,102,953.01
  5. Step 5: Solve for x
    x = 412,102,953.01/31,968.84
  6. Step 6: Final answer
    x = 12,890.77

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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.