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Finding the Fourth Proportional to 126,503.66, 189,788.36 and 37,757.16

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Solution

The fourth proportional to 126,503.66, 189,788.36 and 37,757.16 is: 56,645.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,503.66 : 189,788.36 = 37,757.16 : x
  2. Step 2: Convert to fraction form
    126,503.66/189,788.36 = 37,757.16/x
  3. Step 3: Cross multiply
    126,503.66x = 189,788.36 × 37,757.16
  4. Step 4: Simplify right side
    126,503.66x = 7,165,869,285.87
  5. Step 5: Solve for x
    x = 7,165,869,285.87/126,503.66
  6. Step 6: Final answer
    x = 56,645.55

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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.