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Finding the Fourth Proportional to 44,516, 66,785.40 and 31,394

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Solution

The fourth proportional to 44,516, 66,785.40 and 31,394 is: 47,099.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,516 : 66,785.40 = 31,394 : x
  2. Step 2: Convert to fraction form
    44,516/66,785.40 = 31,394/x
  3. Step 3: Cross multiply
    44,516x = 66,785.40 × 31,394
  4. Step 4: Simplify right side
    44,516x = 2,096,660,847.60
  5. Step 5: Solve for x
    x = 2,096,660,847.60/44,516
  6. Step 6: Final answer
    x = 47,099.04

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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.