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Finding the Fourth Proportional to 30,023.86, 41,432.69 and 16,596.02

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Solution

The fourth proportional to 30,023.86, 41,432.69 and 16,596.02 is: 22,902.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,023.86 : 41,432.69 = 16,596.02 : x
  2. Step 2: Convert to fraction form
    30,023.86/41,432.69 = 16,596.02/x
  3. Step 3: Cross multiply
    30,023.86x = 41,432.69 × 16,596.02
  4. Step 4: Simplify right side
    30,023.86x = 687,617,751.89
  5. Step 5: Solve for x
    x = 687,617,751.89/30,023.86
  6. Step 6: Final answer
    x = 22,902.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.