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Finding the Fourth Proportional to 49,312.80, 73,978.80 and 21,232.80

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Solution

The fourth proportional to 49,312.80, 73,978.80 and 21,232.80 is: 31,853.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,312.80 : 73,978.80 = 21,232.80 : x
  2. Step 2: Convert to fraction form
    49,312.80/73,978.80 = 21,232.80/x
  3. Step 3: Cross multiply
    49,312.80x = 73,978.80 × 21,232.80
  4. Step 4: Simplify right side
    49,312.80x = 1,570,777,064.64
  5. Step 5: Solve for x
    x = 1,570,777,064.64/49,312.80
  6. Step 6: Final answer
    x = 31,853.33

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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.