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Finding the Fourth Proportional to 41,465, 62,197.32 and 10,300.28

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Solution

The fourth proportional to 41,465, 62,197.32 and 10,300.28 is: 15,450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,465 : 62,197.32 = 10,300.28 : x
  2. Step 2: Convert to fraction form
    41,465/62,197.32 = 10,300.28/x
  3. Step 3: Cross multiply
    41,465x = 62,197.32 × 10,300.28
  4. Step 4: Simplify right side
    41,465x = 640,649,811.25
  5. Step 5: Solve for x
    x = 640,649,811.25/41,465
  6. Step 6: Final answer
    x = 15,450.38

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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.