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Finding the Fourth Proportional to 47,665, 71,497.50 and 14,833

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Solution

The fourth proportional to 47,665, 71,497.50 and 14,833 is: 22,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,665 : 71,497.50 = 14,833 : x
  2. Step 2: Convert to fraction form
    47,665/71,497.50 = 14,833/x
  3. Step 3: Cross multiply
    47,665x = 71,497.50 × 14,833
  4. Step 4: Simplify right side
    47,665x = 1,060,522,417.50
  5. Step 5: Solve for x
    x = 1,060,522,417.50/47,665
  6. Step 6: Final answer
    x = 22,249.50

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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.