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Finding the Fourth Proportional to 31,610.12, 43,624.00 and 17,462.96

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Solution

The fourth proportional to 31,610.12, 43,624.00 and 17,462.96 is: 24,100.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,610.12 : 43,624.00 = 17,462.96 : x
  2. Step 2: Convert to fraction form
    31,610.12/43,624.00 = 17,462.96/x
  3. Step 3: Cross multiply
    31,610.12x = 43,624.00 × 17,462.96
  4. Step 4: Simplify right side
    31,610.12x = 761,804,134.34
  5. Step 5: Solve for x
    x = 761,804,134.34/31,610.12
  6. Step 6: Final answer
    x = 24,100.01

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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.