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Finding the Fourth Proportional to 31,596.32, 47,385.84 and 13,124

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Solution

The fourth proportional to 31,596.32, 47,385.84 and 13,124 is: 19,682.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,596.32 : 47,385.84 = 13,124 : x
  2. Step 2: Convert to fraction form
    31,596.32/47,385.84 = 13,124/x
  3. Step 3: Cross multiply
    31,596.32x = 47,385.84 × 13,124
  4. Step 4: Simplify right side
    31,596.32x = 621,891,764.16
  5. Step 5: Solve for x
    x = 621,891,764.16/31,596.32
  6. Step 6: Final answer
    x = 19,682.41

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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.