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Finding the Fourth Proportional to 31,653.84, 47,464.94 and 10,586.54

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Solution

The fourth proportional to 31,653.84, 47,464.94 and 10,586.54 is: 15,874.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,653.84 : 47,464.94 = 10,586.54 : x
  2. Step 2: Convert to fraction form
    31,653.84/47,464.94 = 10,586.54/x
  3. Step 3: Cross multiply
    31,653.84x = 47,464.94 × 10,586.54
  4. Step 4: Simplify right side
    31,653.84x = 502,489,485.91
  5. Step 5: Solve for x
    x = 502,489,485.91/31,653.84
  6. Step 6: Final answer
    x = 15,874.52

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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.