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Finding the Fourth Proportional to 31,316.85, 46,980.45 and 15,522.62

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Solution

The fourth proportional to 31,316.85, 46,980.45 and 15,522.62 is: 23,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,316.85 : 46,980.45 = 15,522.62 : x
  2. Step 2: Convert to fraction form
    31,316.85/46,980.45 = 15,522.62/x
  3. Step 3: Cross multiply
    31,316.85x = 46,980.45 × 15,522.62
  4. Step 4: Simplify right side
    31,316.85x = 729,259,672.78
  5. Step 5: Solve for x
    x = 729,259,672.78/31,316.85
  6. Step 6: Final answer
    x = 23,286.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.