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Finding the Fourth Proportional to 31,462.20, 43,408.07 and 17,848.00

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Solution

The fourth proportional to 31,462.20, 43,408.07 and 17,848.00 is: 24,624.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,462.20 : 43,408.07 = 17,848.00 : x
  2. Step 2: Convert to fraction form
    31,462.20/43,408.07 = 17,848.00/x
  3. Step 3: Cross multiply
    31,462.20x = 43,408.07 × 17,848.00
  4. Step 4: Simplify right side
    31,462.20x = 774,747,089.86
  5. Step 5: Solve for x
    x = 774,747,089.86/31,462.20
  6. Step 6: Final answer
    x = 24,624.69

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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.