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Finding the Fourth Proportional to 31,675.32, 47,524.44 and 14,823.12

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Solution

The fourth proportional to 31,675.32, 47,524.44 and 14,823.12 is: 22,240.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,675.32 : 47,524.44 = 14,823.12 : x
  2. Step 2: Convert to fraction form
    31,675.32/47,524.44 = 14,823.12/x
  3. Step 3: Cross multiply
    31,675.32x = 47,524.44 × 14,823.12
  4. Step 4: Simplify right side
    31,675.32x = 704,460,477.05
  5. Step 5: Solve for x
    x = 704,460,477.05/31,675.32
  6. Step 6: Final answer
    x = 22,240.04

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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.