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Finding the Fourth Proportional to 31,497.99, 47,246.94 and 10,721.49

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Solution

The fourth proportional to 31,497.99, 47,246.94 and 10,721.49 is: 16,082.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,497.99 : 47,246.94 = 10,721.49 : x
  2. Step 2: Convert to fraction form
    31,497.99/47,246.94 = 10,721.49/x
  3. Step 3: Cross multiply
    31,497.99x = 47,246.94 × 10,721.49
  4. Step 4: Simplify right side
    31,497.99x = 506,557,594.74
  5. Step 5: Solve for x
    x = 506,557,594.74/31,497.99
  6. Step 6: Final answer
    x = 16,082.22

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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.