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Finding the Fourth Proportional to 32,143.31, 48,227.64 and 9,958.41

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Solution

The fourth proportional to 32,143.31, 48,227.64 and 9,958.41 is: 14,941.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,143.31 : 48,227.64 = 9,958.41 : x
  2. Step 2: Convert to fraction form
    32,143.31/48,227.64 = 9,958.41/x
  3. Step 3: Cross multiply
    32,143.31x = 48,227.64 × 9,958.41
  4. Step 4: Simplify right side
    32,143.31x = 480,270,612.45
  5. Step 5: Solve for x
    x = 480,270,612.45/32,143.31
  6. Step 6: Final answer
    x = 14,941.54

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1.5x scale

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.