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Finding the Fourth Proportional to 31,631.80, 47,462.46 and 14,099.80

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Solution

The fourth proportional to 31,631.80, 47,462.46 and 14,099.80 is: 21,156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,631.80 : 47,462.46 = 14,099.80 : x
  2. Step 2: Convert to fraction form
    31,631.80/47,462.46 = 14,099.80/x
  3. Step 3: Cross multiply
    31,631.80x = 47,462.46 × 14,099.80
  4. Step 4: Simplify right side
    31,631.80x = 669,211,193.51
  5. Step 5: Solve for x
    x = 669,211,193.51/31,631.80
  6. Step 6: Final answer
    x = 21,156.28

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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.