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Finding the Fourth Proportional to 31,772, 47,624.74 and 10,704.76

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Solution

The fourth proportional to 31,772, 47,624.74 and 10,704.76 is: 16,045.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,772 : 47,624.74 = 10,704.76 : x
  2. Step 2: Convert to fraction form
    31,772/47,624.74 = 10,704.76/x
  3. Step 3: Cross multiply
    31,772x = 47,624.74 × 10,704.76
  4. Step 4: Simplify right side
    31,772x = 509,811,411.76
  5. Step 5: Solve for x
    x = 509,811,411.76/31,772
  6. Step 6: Final answer
    x = 16,045.93

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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.