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Finding the Fourth Proportional to 30,913.50, 46,332.24 and 14,250.42

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Solution

The fourth proportional to 30,913.50, 46,332.24 and 14,250.42 is: 21,358.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,913.50 : 46,332.24 = 14,250.42 : x
  2. Step 2: Convert to fraction form
    30,913.50/46,332.24 = 14,250.42/x
  3. Step 3: Cross multiply
    30,913.50x = 46,332.24 × 14,250.42
  4. Step 4: Simplify right side
    30,913.50x = 660,253,879.54
  5. Step 5: Solve for x
    x = 660,253,879.54/30,913.50
  6. Step 6: Final answer
    x = 21,358.11

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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.