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Finding the Fourth Proportional to 126,513.38, 189,763.59 and 37,767.62

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Solution

The fourth proportional to 126,513.38, 189,763.59 and 37,767.62 is: 56,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,513.38 : 189,763.59 = 37,767.62 : x
  2. Step 2: Convert to fraction form
    126,513.38/189,763.59 = 37,767.62/x
  3. Step 3: Cross multiply
    126,513.38x = 189,763.59 × 37,767.62
  4. Step 4: Simplify right side
    126,513.38x = 7,166,919,156.96
  5. Step 5: Solve for x
    x = 7,166,919,156.96/126,513.38
  6. Step 6: Final answer
    x = 56,649.50

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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.