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Finding the Fourth Proportional to 31,596, 47,148.90 and 27,396.96

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Solution

The fourth proportional to 31,596, 47,148.90 and 27,396.96 is: 40,882.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,596 : 47,148.90 = 27,396.96 : x
  2. Step 2: Convert to fraction form
    31,596/47,148.90 = 27,396.96/x
  3. Step 3: Cross multiply
    31,596x = 47,148.90 × 27,396.96
  4. Step 4: Simplify right side
    31,596x = 1,291,736,527.34
  5. Step 5: Solve for x
    x = 1,291,736,527.34/31,596
  6. Step 6: Final answer
    x = 40,882.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.