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Finding the Fourth Proportional to 31,082.25, 46,630.03 and 10,023.50

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Solution

The fourth proportional to 31,082.25, 46,630.03 and 10,023.50 is: 15,037.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,082.25 : 46,630.03 = 10,023.50 : x
  2. Step 2: Convert to fraction form
    31,082.25/46,630.03 = 10,023.50/x
  3. Step 3: Cross multiply
    31,082.25x = 46,630.03 × 10,023.50
  4. Step 4: Simplify right side
    31,082.25x = 467,395,822.44
  5. Step 5: Solve for x
    x = 467,395,822.44/31,082.25
  6. Step 6: Final answer
    x = 15,037.39

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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.