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Finding the Fourth Proportional to 121,522.62, 182,271.08 and 32,770.64

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Solution

The fourth proportional to 121,522.62, 182,271.08 and 32,770.64 is: 49,152.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,522.62 : 182,271.08 = 32,770.64 : x
  2. Step 2: Convert to fraction form
    121,522.62/182,271.08 = 32,770.64/x
  3. Step 3: Cross multiply
    121,522.62x = 182,271.08 × 32,770.64
  4. Step 4: Simplify right side
    121,522.62x = 5,973,139,945.09
  5. Step 5: Solve for x
    x = 5,973,139,945.09/121,522.62
  6. Step 6: Final answer
    x = 49,152.49

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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.