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Finding the Fourth Proportional to 67,297, 100,945.50 and 37,329.48

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Solution

The fourth proportional to 67,297, 100,945.50 and 37,329.48 is: 55,994.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,297 : 100,945.50 = 37,329.48 : x
  2. Step 2: Convert to fraction form
    67,297/100,945.50 = 37,329.48/x
  3. Step 3: Cross multiply
    67,297x = 100,945.50 × 37,329.48
  4. Step 4: Simplify right side
    67,297x = 3,768,243,023.34
  5. Step 5: Solve for x
    x = 3,768,243,023.34/67,297
  6. Step 6: Final answer
    x = 55,994.22

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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.