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Finding the Fourth Proportional to 31,331.93, 47,000.66 and 8,842.81

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Solution

The fourth proportional to 31,331.93, 47,000.66 and 8,842.81 is: 13,264.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,331.93 : 47,000.66 = 8,842.81 : x
  2. Step 2: Convert to fraction form
    31,331.93/47,000.66 = 8,842.81/x
  3. Step 3: Cross multiply
    31,331.93x = 47,000.66 × 8,842.81
  4. Step 4: Simplify right side
    31,331.93x = 415,617,744.54
  5. Step 5: Solve for x
    x = 415,617,744.54/31,331.93
  6. Step 6: Final answer
    x = 13,264.99

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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.