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Finding the Fourth Proportional to 31,925.75, 47,891.35 and 9,739.34

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Solution

The fourth proportional to 31,925.75, 47,891.35 and 9,739.34 is: 14,609.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,925.75 : 47,891.35 = 9,739.34 : x
  2. Step 2: Convert to fraction form
    31,925.75/47,891.35 = 9,739.34/x
  3. Step 3: Cross multiply
    31,925.75x = 47,891.35 × 9,739.34
  4. Step 4: Simplify right side
    31,925.75x = 466,430,093.02
  5. Step 5: Solve for x
    x = 466,430,093.02/31,925.75
  6. Step 6: Final answer
    x = 14,609.84

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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.