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Finding the Fourth Proportional to 34,354.80, 51,471.72 and 30,090.60

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Solution

The fourth proportional to 34,354.80, 51,471.72 and 30,090.60 is: 45,082.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,354.80 : 51,471.72 = 30,090.60 : x
  2. Step 2: Convert to fraction form
    34,354.80/51,471.72 = 30,090.60/x
  3. Step 3: Cross multiply
    34,354.80x = 51,471.72 × 30,090.60
  4. Step 4: Simplify right side
    34,354.80x = 1,548,814,937.83
  5. Step 5: Solve for x
    x = 1,548,814,937.83/34,354.80
  6. Step 6: Final answer
    x = 45,082.93

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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.