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Finding the Fourth Proportional to 31,802.70, 47,704.05 and 16,250.70

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Solution

The fourth proportional to 31,802.70, 47,704.05 and 16,250.70 is: 24,376.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,802.70 : 47,704.05 = 16,250.70 : x
  2. Step 2: Convert to fraction form
    31,802.70/47,704.05 = 16,250.70/x
  3. Step 3: Cross multiply
    31,802.70x = 47,704.05 × 16,250.70
  4. Step 4: Simplify right side
    31,802.70x = 775,224,205.34
  5. Step 5: Solve for x
    x = 775,224,205.34/31,802.70
  6. Step 6: Final answer
    x = 24,376.05

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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.