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Finding the Fourth Proportional to 31,106.96, 46,667.70 and 10,330.44

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Solution

The fourth proportional to 31,106.96, 46,667.70 and 10,330.44 is: 15,498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,106.96 : 46,667.70 = 10,330.44 : x
  2. Step 2: Convert to fraction form
    31,106.96/46,667.70 = 10,330.44/x
  3. Step 3: Cross multiply
    31,106.96x = 46,667.70 × 10,330.44
  4. Step 4: Simplify right side
    31,106.96x = 482,097,874.79
  5. Step 5: Solve for x
    x = 482,097,874.79/31,106.96
  6. Step 6: Final answer
    x = 15,498.07

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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.