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Finding the Fourth Proportional to 54,811.38, 75,651.39 and 34,655.34

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Solution

The fourth proportional to 54,811.38, 75,651.39 and 34,655.34 is: 47,831.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,811.38 : 75,651.39 = 34,655.34 : x
  2. Step 2: Convert to fraction form
    54,811.38/75,651.39 = 34,655.34/x
  3. Step 3: Cross multiply
    54,811.38x = 75,651.39 × 34,655.34
  4. Step 4: Simplify right side
    54,811.38x = 2,621,724,641.92
  5. Step 5: Solve for x
    x = 2,621,724,641.92/54,811.38
  6. Step 6: Final answer
    x = 47,831.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.