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Finding the Fourth Proportional to 37,070.70, 55,581.48 and 20,438.70

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Solution

The fourth proportional to 37,070.70, 55,581.48 and 20,438.70 is: 30,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,070.70 : 55,581.48 = 20,438.70 : x
  2. Step 2: Convert to fraction form
    37,070.70/55,581.48 = 20,438.70/x
  3. Step 3: Cross multiply
    37,070.70x = 55,581.48 × 20,438.70
  4. Step 4: Simplify right side
    37,070.70x = 1,136,013,195.28
  5. Step 5: Solve for x
    x = 1,136,013,195.28/37,070.70
  6. Step 6: Final answer
    x = 30,644.50

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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.