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Finding the Fourth Proportional to 53,788.75, 80,683.06 and 16,348.72

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Solution

The fourth proportional to 53,788.75, 80,683.06 and 16,348.72 is: 24,523.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,788.75 : 80,683.06 = 16,348.72 : x
  2. Step 2: Convert to fraction form
    53,788.75/80,683.06 = 16,348.72/x
  3. Step 3: Cross multiply
    53,788.75x = 80,683.06 × 16,348.72
  4. Step 4: Simplify right side
    53,788.75x = 1,319,064,756.68
  5. Step 5: Solve for x
    x = 1,319,064,756.68/53,788.75
  6. Step 6: Final answer
    x = 24,523.06

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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.