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Finding the Fourth Proportional to 50,598, 75,906.72 and 22,896

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Solution

The fourth proportional to 50,598, 75,906.72 and 22,896 is: 34,348.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,598 : 75,906.72 = 22,896 : x
  2. Step 2: Convert to fraction form
    50,598/75,906.72 = 22,896/x
  3. Step 3: Cross multiply
    50,598x = 75,906.72 × 22,896
  4. Step 4: Simplify right side
    50,598x = 1,737,960,261.12
  5. Step 5: Solve for x
    x = 1,737,960,261.12/50,598
  6. Step 6: Final answer
    x = 34,348.40

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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.