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Finding the Fourth Proportional to 31,674.10, 47,491.95 and 15,860.74

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Solution

The fourth proportional to 31,674.10, 47,491.95 and 15,860.74 is: 23,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,674.10 : 47,491.95 = 15,860.74 : x
  2. Step 2: Convert to fraction form
    31,674.10/47,491.95 = 15,860.74/x
  3. Step 3: Cross multiply
    31,674.10x = 47,491.95 × 15,860.74
  4. Step 4: Simplify right side
    31,674.10x = 753,257,471.04
  5. Step 5: Solve for x
    x = 753,257,471.04/31,674.10
  6. Step 6: Final answer
    x = 23,781.50

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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.