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Finding the Fourth Proportional to 43,474.68, 65,020.35 and 37,846.20

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Solution

The fourth proportional to 43,474.68, 65,020.35 and 37,846.20 is: 56,602.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,474.68 : 65,020.35 = 37,846.20 : x
  2. Step 2: Convert to fraction form
    43,474.68/65,020.35 = 37,846.20/x
  3. Step 3: Cross multiply
    43,474.68x = 65,020.35 × 37,846.20
  4. Step 4: Simplify right side
    43,474.68x = 2,460,773,170.17
  5. Step 5: Solve for x
    x = 2,460,773,170.17/43,474.68
  6. Step 6: Final answer
    x = 56,602.44

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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.