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Finding the Fourth Proportional to 41,297, 61,945.50 and 13,597.16

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Solution

The fourth proportional to 41,297, 61,945.50 and 13,597.16 is: 20,395.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,297 : 61,945.50 = 13,597.16 : x
  2. Step 2: Convert to fraction form
    41,297/61,945.50 = 13,597.16/x
  3. Step 3: Cross multiply
    41,297x = 61,945.50 × 13,597.16
  4. Step 4: Simplify right side
    41,297x = 842,282,874.78
  5. Step 5: Solve for x
    x = 842,282,874.78/41,297
  6. Step 6: Final answer
    x = 20,395.74

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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.