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Finding the Fourth Proportional to 47,096, 70,644.16 and 14,264

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Solution

The fourth proportional to 47,096, 70,644.16 and 14,264 is: 21,396.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,096 : 70,644.16 = 14,264 : x
  2. Step 2: Convert to fraction form
    47,096/70,644.16 = 14,264/x
  3. Step 3: Cross multiply
    47,096x = 70,644.16 × 14,264
  4. Step 4: Simplify right side
    47,096x = 1,007,668,298.24
  5. Step 5: Solve for x
    x = 1,007,668,298.24/47,096
  6. Step 6: Final answer
    x = 21,396.05

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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.