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Finding the Fourth Proportional to 126,423.17, 189,642.04 and 47,538.08

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Solution

The fourth proportional to 126,423.17, 189,642.04 and 47,538.08 is: 71,309.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,423.17 : 189,642.04 = 47,538.08 : x
  2. Step 2: Convert to fraction form
    126,423.17/189,642.04 = 47,538.08/x
  3. Step 3: Cross multiply
    126,423.17x = 189,642.04 × 47,538.08
  4. Step 4: Simplify right side
    126,423.17x = 9,015,219,447.12
  5. Step 5: Solve for x
    x = 9,015,219,447.12/126,423.17
  6. Step 6: Final answer
    x = 71,309.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.