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Finding the Fourth Proportional to 31,645.84, 47,468.34 and 9,459.40

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Solution

The fourth proportional to 31,645.84, 47,468.34 and 9,459.40 is: 14,188.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,645.84 : 47,468.34 = 9,459.40 : x
  2. Step 2: Convert to fraction form
    31,645.84/47,468.34 = 9,459.40/x
  3. Step 3: Cross multiply
    31,645.84x = 47,468.34 × 9,459.40
  4. Step 4: Simplify right side
    31,645.84x = 449,022,015.40
  5. Step 5: Solve for x
    x = 449,022,015.40/31,645.84
  6. Step 6: Final answer
    x = 14,188.97

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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.