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Finding the Fourth Proportional to 47,893.84, 71,840.54 and 14,613.80

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Solution

The fourth proportional to 47,893.84, 71,840.54 and 14,613.80 is: 21,920.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,893.84 : 71,840.54 = 14,613.80 : x
  2. Step 2: Convert to fraction form
    47,893.84/71,840.54 = 14,613.80/x
  3. Step 3: Cross multiply
    47,893.84x = 71,840.54 × 14,613.80
  4. Step 4: Simplify right side
    47,893.84x = 1,049,862,960.78
  5. Step 5: Solve for x
    x = 1,049,862,960.78/47,893.84
  6. Step 6: Final answer
    x = 21,920.63

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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.