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Finding the Fourth Proportional to 32,883.90, 49,293.45 and 16,230.30

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Solution

The fourth proportional to 32,883.90, 49,293.45 and 16,230.30 is: 24,329.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,883.90 : 49,293.45 = 16,230.30 : x
  2. Step 2: Convert to fraction form
    32,883.90/49,293.45 = 16,230.30/x
  3. Step 3: Cross multiply
    32,883.90x = 49,293.45 × 16,230.30
  4. Step 4: Simplify right side
    32,883.90x = 800,047,481.54
  5. Step 5: Solve for x
    x = 800,047,481.54/32,883.90
  6. Step 6: Final answer
    x = 24,329.46

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1.5x scale

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.