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Finding the Fourth Proportional to 36,776, 55,180.20 and 12,152

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Solution

The fourth proportional to 36,776, 55,180.20 and 12,152 is: 18,233.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,776 : 55,180.20 = 12,152 : x
  2. Step 2: Convert to fraction form
    36,776/55,180.20 = 12,152/x
  3. Step 3: Cross multiply
    36,776x = 55,180.20 × 12,152
  4. Step 4: Simplify right side
    36,776x = 670,549,790.40
  5. Step 5: Solve for x
    x = 670,549,790.40/36,776
  6. Step 6: Final answer
    x = 18,233.35

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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.