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Finding the Fourth Proportional to 32,838.70, 49,270.20 and 10,652.80

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Solution

The fourth proportional to 32,838.70, 49,270.20 and 10,652.80 is: 15,983.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,838.70 : 49,270.20 = 10,652.80 : x
  2. Step 2: Convert to fraction form
    32,838.70/49,270.20 = 10,652.80/x
  3. Step 3: Cross multiply
    32,838.70x = 49,270.20 × 10,652.80
  4. Step 4: Simplify right side
    32,838.70x = 524,865,586.56
  5. Step 5: Solve for x
    x = 524,865,586.56/32,838.70
  6. Step 6: Final answer
    x = 15,983.14

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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.