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Finding the Fourth Proportional to 32,941.80, 49,412.70 and 30,414.60

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Solution

The fourth proportional to 32,941.80, 49,412.70 and 30,414.60 is: 45,621.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,941.80 : 49,412.70 = 30,414.60 : x
  2. Step 2: Convert to fraction form
    32,941.80/49,412.70 = 30,414.60/x
  3. Step 3: Cross multiply
    32,941.80x = 49,412.70 × 30,414.60
  4. Step 4: Simplify right side
    32,941.80x = 1,502,867,505.42
  5. Step 5: Solve for x
    x = 1,502,867,505.42/32,941.80
  6. Step 6: Final answer
    x = 45,621.90

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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.