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Finding the Fourth Proportional to 47,963.34, 71,944.95 and 12,902.99

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Solution

The fourth proportional to 47,963.34, 71,944.95 and 12,902.99 is: 19,354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,963.34 : 71,944.95 = 12,902.99 : x
  2. Step 2: Convert to fraction form
    47,963.34/71,944.95 = 12,902.99/x
  3. Step 3: Cross multiply
    47,963.34x = 71,944.95 × 12,902.99
  4. Step 4: Simplify right side
    47,963.34x = 928,304,970.40
  5. Step 5: Solve for x
    x = 928,304,970.40/47,963.34
  6. Step 6: Final answer
    x = 19,354.47

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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.