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Finding the Fourth Proportional to 32,751.10, 49,121.87 and 16,106.66

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Solution

The fourth proportional to 32,751.10, 49,121.87 and 16,106.66 is: 24,157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,751.10 : 49,121.87 = 16,106.66 : x
  2. Step 2: Convert to fraction form
    32,751.10/49,121.87 = 16,106.66/x
  3. Step 3: Cross multiply
    32,751.10x = 49,121.87 × 16,106.66
  4. Step 4: Simplify right side
    32,751.10x = 791,189,300.93
  5. Step 5: Solve for x
    x = 791,189,300.93/32,751.10
  6. Step 6: Final answer
    x = 24,157.64

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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.