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Finding the Fourth Proportional to 126,392.12, 189,442.36 and 47,456

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Solution

The fourth proportional to 126,392.12, 189,442.36 and 47,456 is: 71,129.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,392.12 : 189,442.36 = 47,456 : x
  2. Step 2: Convert to fraction form
    126,392.12/189,442.36 = 47,456/x
  3. Step 3: Cross multiply
    126,392.12x = 189,442.36 × 47,456
  4. Step 4: Simplify right side
    126,392.12x = 8,990,176,636.16
  5. Step 5: Solve for x
    x = 8,990,176,636.16/126,392.12
  6. Step 6: Final answer
    x = 71,129.25

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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.