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Finding the Fourth Proportional to 31,209.70, 46,814.55 and 24,211.30

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Solution

The fourth proportional to 31,209.70, 46,814.55 and 24,211.30 is: 36,316.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,209.70 : 46,814.55 = 24,211.30 : x
  2. Step 2: Convert to fraction form
    31,209.70/46,814.55 = 24,211.30/x
  3. Step 3: Cross multiply
    31,209.70x = 46,814.55 × 24,211.30
  4. Step 4: Simplify right side
    31,209.70x = 1,133,441,114.42
  5. Step 5: Solve for x
    x = 1,133,441,114.42/31,209.70
  6. Step 6: Final answer
    x = 36,316.95

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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.