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Finding the Fourth Proportional to 31,086.96, 46,635.07 and 11,094.90

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Solution

The fourth proportional to 31,086.96, 46,635.07 and 11,094.90 is: 16,644.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,086.96 : 46,635.07 = 11,094.90 : x
  2. Step 2: Convert to fraction form
    31,086.96/46,635.07 = 11,094.90/x
  3. Step 3: Cross multiply
    31,086.96x = 46,635.07 × 11,094.90
  4. Step 4: Simplify right side
    31,086.96x = 517,411,266.08
  5. Step 5: Solve for x
    x = 517,411,266.08/31,086.96
  6. Step 6: Final answer
    x = 16,644.00

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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.