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Finding the Fourth Proportional to 127,494.63, 191,263.82 and 38,756.97

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Solution

The fourth proportional to 127,494.63, 191,263.82 and 38,756.97 is: 58,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,494.63 : 191,263.82 = 38,756.97 : x
  2. Step 2: Convert to fraction form
    127,494.63/191,263.82 = 38,756.97/x
  3. Step 3: Cross multiply
    127,494.63x = 191,263.82 × 38,756.97
  4. Step 4: Simplify right side
    127,494.63x = 7,412,805,940.04
  5. Step 5: Solve for x
    x = 7,412,805,940.04/127,494.63
  6. Step 6: Final answer
    x = 58,142.10

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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.