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Finding the Fourth Proportional to 34,597.52, 47,742.16 and 20,447.64

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Solution

The fourth proportional to 34,597.52, 47,742.16 and 20,447.64 is: 28,216.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,597.52 : 47,742.16 = 20,447.64 : x
  2. Step 2: Convert to fraction form
    34,597.52/47,742.16 = 20,447.64/x
  3. Step 3: Cross multiply
    34,597.52x = 47,742.16 × 20,447.64
  4. Step 4: Simplify right side
    34,597.52x = 976,214,500.50
  5. Step 5: Solve for x
    x = 976,214,500.50/34,597.52
  6. Step 6: Final answer
    x = 28,216.31

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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.