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Finding the Fourth Proportional to 31,141.08, 46,718.76 and 8,954.64

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Solution

The fourth proportional to 31,141.08, 46,718.76 and 8,954.64 is: 13,434.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,141.08 : 46,718.76 = 8,954.64 : x
  2. Step 2: Convert to fraction form
    31,141.08/46,718.76 = 8,954.64/x
  3. Step 3: Cross multiply
    31,141.08x = 46,718.76 × 8,954.64
  4. Step 4: Simplify right side
    31,141.08x = 418,349,677.05
  5. Step 5: Solve for x
    x = 418,349,677.05/31,141.08
  6. Step 6: Final answer
    x = 13,434.01

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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.