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Finding the Fourth Proportional to 31,705.30, 43,752.57 and 17,558.74

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Solution

The fourth proportional to 31,705.30, 43,752.57 and 17,558.74 is: 24,230.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,705.30 : 43,752.57 = 17,558.74 : x
  2. Step 2: Convert to fraction form
    31,705.30/43,752.57 = 17,558.74/x
  3. Step 3: Cross multiply
    31,705.30x = 43,752.57 × 17,558.74
  4. Step 4: Simplify right side
    31,705.30x = 768,240,000.96
  5. Step 5: Solve for x
    x = 768,240,000.96/31,705.30
  6. Step 6: Final answer
    x = 24,230.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.