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Finding the Fourth Proportional to 30,182.36, 45,339.14 and 20,340.86

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Solution

The fourth proportional to 30,182.36, 45,339.14 and 20,340.86 is: 30,555.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,182.36 : 45,339.14 = 20,340.86 : x
  2. Step 2: Convert to fraction form
    30,182.36/45,339.14 = 20,340.86/x
  3. Step 3: Cross multiply
    30,182.36x = 45,339.14 × 20,340.86
  4. Step 4: Simplify right side
    30,182.36x = 922,236,923.42
  5. Step 5: Solve for x
    x = 922,236,923.42/30,182.36
  6. Step 6: Final answer
    x = 30,555.50

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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.