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Finding the Fourth Proportional to 31,698.46, 47,529.92 and 21,714.50

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Solution

The fourth proportional to 31,698.46, 47,529.92 and 21,714.50 is: 32,559.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,698.46 : 47,529.92 = 21,714.50 : x
  2. Step 2: Convert to fraction form
    31,698.46/47,529.92 = 21,714.50/x
  3. Step 3: Cross multiply
    31,698.46x = 47,529.92 × 21,714.50
  4. Step 4: Simplify right side
    31,698.46x = 1,032,088,353.60
  5. Step 5: Solve for x
    x = 1,032,088,353.60/31,698.46
  6. Step 6: Final answer
    x = 32,559.57

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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.