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Finding the Fourth Proportional to 31,064.84, 46,555.74 and 11,324.84

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Solution

The fourth proportional to 31,064.84, 46,555.74 and 11,324.84 is: 16,972.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,064.84 : 46,555.74 = 11,324.84 : x
  2. Step 2: Convert to fraction form
    31,064.84/46,555.74 = 11,324.84/x
  3. Step 3: Cross multiply
    31,064.84x = 46,555.74 × 11,324.84
  4. Step 4: Simplify right side
    31,064.84x = 527,236,306.58
  5. Step 5: Solve for x
    x = 527,236,306.58/31,064.84
  6. Step 6: Final answer
    x = 16,972.12

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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.