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Finding the Fourth Proportional to 49,452, 74,182.55 and 16,172.24

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Solution

The fourth proportional to 49,452, 74,182.55 and 16,172.24 is: 24,259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,452 : 74,182.55 = 16,172.24 : x
  2. Step 2: Convert to fraction form
    49,452/74,182.55 = 16,172.24/x
  3. Step 3: Cross multiply
    49,452x = 74,182.55 × 16,172.24
  4. Step 4: Simplify right side
    49,452x = 1,199,697,550.64
  5. Step 5: Solve for x
    x = 1,199,697,550.64/49,452
  6. Step 6: Final answer
    x = 24,259.84

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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.