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Finding the Fourth Proportional to 47,194.56, 70,782.84 and 13,916.16

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Solution

The fourth proportional to 47,194.56, 70,782.84 and 13,916.16 is: 20,871.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,194.56 : 70,782.84 = 13,916.16 : x
  2. Step 2: Convert to fraction form
    47,194.56/70,782.84 = 13,916.16/x
  3. Step 3: Cross multiply
    47,194.56x = 70,782.84 × 13,916.16
  4. Step 4: Simplify right side
    47,194.56x = 985,025,326.69
  5. Step 5: Solve for x
    x = 985,025,326.69/47,194.56
  6. Step 6: Final answer
    x = 20,871.59

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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.