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Finding the Fourth Proportional to 126,405.50, 189,635.58 and 37,666.15

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Solution

The fourth proportional to 126,405.50, 189,635.58 and 37,666.15 is: 56,507.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,405.50 : 189,635.58 = 37,666.15 : x
  2. Step 2: Convert to fraction form
    126,405.50/189,635.58 = 37,666.15/x
  3. Step 3: Cross multiply
    126,405.50x = 189,635.58 × 37,666.15
  4. Step 4: Simplify right side
    126,405.50x = 7,142,841,727.53
  5. Step 5: Solve for x
    x = 7,142,841,727.53/126,405.50
  6. Step 6: Final answer
    x = 56,507.37

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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.