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Finding the Fourth Proportional to 31,274.10, 46,914.23 and 9,087.67

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Solution

The fourth proportional to 31,274.10, 46,914.23 and 9,087.67 is: 13,632.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,274.10 : 46,914.23 = 9,087.67 : x
  2. Step 2: Convert to fraction form
    31,274.10/46,914.23 = 9,087.67/x
  3. Step 3: Cross multiply
    31,274.10x = 46,914.23 × 9,087.67
  4. Step 4: Simplify right side
    31,274.10x = 426,340,926.06
  5. Step 5: Solve for x
    x = 426,340,926.06/31,274.10
  6. Step 6: Final answer
    x = 13,632.40

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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.