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Finding the Fourth Proportional to 31,611.65, 43,624.53 and 17,464.82

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Solution

The fourth proportional to 31,611.65, 43,624.53 and 17,464.82 is: 24,101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,611.65 : 43,624.53 = 17,464.82 : x
  2. Step 2: Convert to fraction form
    31,611.65/43,624.53 = 17,464.82/x
  3. Step 3: Cross multiply
    31,611.65x = 43,624.53 × 17,464.82
  4. Step 4: Simplify right side
    31,611.65x = 761,894,345.91
  5. Step 5: Solve for x
    x = 761,894,345.91/31,611.65
  6. Step 6: Final answer
    x = 24,101.70

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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.