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Finding the Fourth Proportional to 31,329.46, 46,989.42 and 10,269.46

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Solution

The fourth proportional to 31,329.46, 46,989.42 and 10,269.46 is: 15,402.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,329.46 : 46,989.42 = 10,269.46 : x
  2. Step 2: Convert to fraction form
    31,329.46/46,989.42 = 10,269.46/x
  3. Step 3: Cross multiply
    31,329.46x = 46,989.42 × 10,269.46
  4. Step 4: Simplify right side
    31,329.46x = 482,555,969.11
  5. Step 5: Solve for x
    x = 482,555,969.11/31,329.46
  6. Step 6: Final answer
    x = 15,402.63

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1.5x scale

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.