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Finding the Fourth Proportional to 30,884.70, 46,322.73 and 10,105.50

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Solution

The fourth proportional to 30,884.70, 46,322.73 and 10,105.50 is: 15,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,884.70 : 46,322.73 = 10,105.50 : x
  2. Step 2: Convert to fraction form
    30,884.70/46,322.73 = 10,105.50/x
  3. Step 3: Cross multiply
    30,884.70x = 46,322.73 × 10,105.50
  4. Step 4: Simplify right side
    30,884.70x = 468,114,348.02
  5. Step 5: Solve for x
    x = 468,114,348.02/30,884.70
  6. Step 6: Final answer
    x = 15,156.84

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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.