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Finding the Fourth Proportional to 50,654.68, 75,960 and 19,468

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Solution

The fourth proportional to 50,654.68, 75,960 and 19,468 is: 29,193.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,654.68 : 75,960 = 19,468 : x
  2. Step 2: Convert to fraction form
    50,654.68/75,960 = 19,468/x
  3. Step 3: Cross multiply
    50,654.68x = 75,960 × 19,468
  4. Step 4: Simplify right side
    50,654.68x = 1,478,789,280
  5. Step 5: Solve for x
    x = 1,478,789,280/50,654.68
  6. Step 6: Final answer
    x = 29,193.54

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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.