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Finding the Fourth Proportional to 60,224, 83,109.12 and 36,672

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Solution

The fourth proportional to 60,224, 83,109.12 and 36,672 is: 50,607.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,224 : 83,109.12 = 36,672 : x
  2. Step 2: Convert to fraction form
    60,224/83,109.12 = 36,672/x
  3. Step 3: Cross multiply
    60,224x = 83,109.12 × 36,672
  4. Step 4: Simplify right side
    60,224x = 3,047,777,648.64
  5. Step 5: Solve for x
    x = 3,047,777,648.64/60,224
  6. Step 6: Final answer
    x = 50,607.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.