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Finding the Fourth Proportional to 31,745.32, 47,648.76 and 16,964.64

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Solution

The fourth proportional to 31,745.32, 47,648.76 and 16,964.64 is: 25,463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,745.32 : 47,648.76 = 16,964.64 : x
  2. Step 2: Convert to fraction form
    31,745.32/47,648.76 = 16,964.64/x
  3. Step 3: Cross multiply
    31,745.32x = 47,648.76 × 16,964.64
  4. Step 4: Simplify right side
    31,745.32x = 808,343,996.23
  5. Step 5: Solve for x
    x = 808,343,996.23/31,745.32
  6. Step 6: Final answer
    x = 25,463.41

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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.