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Finding the Fourth Proportional to 129,646.84, 194,392.48 and 50,667

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Solution

The fourth proportional to 129,646.84, 194,392.48 and 50,667 is: 75,970.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,646.84 : 194,392.48 = 50,667 : x
  2. Step 2: Convert to fraction form
    129,646.84/194,392.48 = 50,667/x
  3. Step 3: Cross multiply
    129,646.84x = 194,392.48 × 50,667
  4. Step 4: Simplify right side
    129,646.84x = 9,849,283,784.16
  5. Step 5: Solve for x
    x = 9,849,283,784.16/129,646.84
  6. Step 6: Final answer
    x = 75,970.10

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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.