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Finding the Fourth Proportional to 57,407.32, 85,994.34 and 29,647

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Solution

The fourth proportional to 57,407.32, 85,994.34 and 29,647 is: 44,410.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,407.32 : 85,994.34 = 29,647 : x
  2. Step 2: Convert to fraction form
    57,407.32/85,994.34 = 29,647/x
  3. Step 3: Cross multiply
    57,407.32x = 85,994.34 × 29,647
  4. Step 4: Simplify right side
    57,407.32x = 2,549,474,197.98
  5. Step 5: Solve for x
    x = 2,549,474,197.98/57,407.32
  6. Step 6: Final answer
    x = 44,410.26

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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.