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Finding the Fourth Proportional to 47,324.94, 65,313 and 35,367.54

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Solution

The fourth proportional to 47,324.94, 65,313 and 35,367.54 is: 48,810.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,324.94 : 65,313 = 35,367.54 : x
  2. Step 2: Convert to fraction form
    47,324.94/65,313 = 35,367.54/x
  3. Step 3: Cross multiply
    47,324.94x = 65,313 × 35,367.54
  4. Step 4: Simplify right side
    47,324.94x = 2,309,960,140.02
  5. Step 5: Solve for x
    x = 2,309,960,140.02/47,324.94
  6. Step 6: Final answer
    x = 48,810.63

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1.5x scale

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.