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Finding the Fourth Proportional to 53,380, 80,074.32 and 16,444

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Solution

The fourth proportional to 53,380, 80,074.32 and 16,444 is: 24,667.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,380 : 80,074.32 = 16,444 : x
  2. Step 2: Convert to fraction form
    53,380/80,074.32 = 16,444/x
  3. Step 3: Cross multiply
    53,380x = 80,074.32 × 16,444
  4. Step 4: Simplify right side
    53,380x = 1,316,742,118.08
  5. Step 5: Solve for x
    x = 1,316,742,118.08/53,380
  6. Step 6: Final answer
    x = 24,667.33

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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.