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Finding the Fourth Proportional to 50,885.72, 70,226.60 and 28,232

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Solution

The fourth proportional to 50,885.72, 70,226.60 and 28,232 is: 38,962.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,885.72 : 70,226.60 = 28,232 : x
  2. Step 2: Convert to fraction form
    50,885.72/70,226.60 = 28,232/x
  3. Step 3: Cross multiply
    50,885.72x = 70,226.60 × 28,232
  4. Step 4: Simplify right side
    50,885.72x = 1,982,637,371.20
  5. Step 5: Solve for x
    x = 1,982,637,371.20/50,885.72
  6. Step 6: Final answer
    x = 38,962.55

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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.