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Finding the Fourth Proportional to 32,999.70, 49,511.70 and 10,813.80

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Solution

The fourth proportional to 32,999.70, 49,511.70 and 10,813.80 is: 16,224.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,999.70 : 49,511.70 = 10,813.80 : x
  2. Step 2: Convert to fraction form
    32,999.70/49,511.70 = 10,813.80/x
  3. Step 3: Cross multiply
    32,999.70x = 49,511.70 × 10,813.80
  4. Step 4: Simplify right side
    32,999.70x = 535,409,621.46
  5. Step 5: Solve for x
    x = 535,409,621.46/32,999.70
  6. Step 6: Final answer
    x = 16,224.68

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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.