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Finding the Fourth Proportional to 36,978.33, 55,470.33 and 10,683.30

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Solution

The fourth proportional to 36,978.33, 55,470.33 and 10,683.30 is: 16,025.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,978.33 : 55,470.33 = 10,683.30 : x
  2. Step 2: Convert to fraction form
    36,978.33/55,470.33 = 10,683.30/x
  3. Step 3: Cross multiply
    36,978.33x = 55,470.33 × 10,683.30
  4. Step 4: Simplify right side
    36,978.33x = 592,606,176.49
  5. Step 5: Solve for x
    x = 592,606,176.49/36,978.33
  6. Step 6: Final answer
    x = 16,025.77

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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.