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Finding the Fourth Proportional to 45,820.80, 68,739.30 and 16,255.80

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Solution

The fourth proportional to 45,820.80, 68,739.30 and 16,255.80 is: 24,386.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,820.80 : 68,739.30 = 16,255.80 : x
  2. Step 2: Convert to fraction form
    45,820.80/68,739.30 = 16,255.80/x
  3. Step 3: Cross multiply
    45,820.80x = 68,739.30 × 16,255.80
  4. Step 4: Simplify right side
    45,820.80x = 1,117,412,312.94
  5. Step 5: Solve for x
    x = 1,117,412,312.94/45,820.80
  6. Step 6: Final answer
    x = 24,386.57

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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.