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Finding the Fourth Proportional to 53,874.59, 80,820.41 and 16,426.08

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Solution

The fourth proportional to 53,874.59, 80,820.41 and 16,426.08 is: 24,641.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,874.59 : 80,820.41 = 16,426.08 : x
  2. Step 2: Convert to fraction form
    53,874.59/80,820.41 = 16,426.08/x
  3. Step 3: Cross multiply
    53,874.59x = 80,820.41 × 16,426.08
  4. Step 4: Simplify right side
    53,874.59x = 1,327,562,438.16
  5. Step 5: Solve for x
    x = 1,327,562,438.16/53,874.59
  6. Step 6: Final answer
    x = 24,641.72

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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.