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Finding the Fourth Proportional to 29,291.96, 43,938.48 and 9,570.44

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Solution

The fourth proportional to 29,291.96, 43,938.48 and 9,570.44 is: 14,355.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,291.96 : 43,938.48 = 9,570.44 : x
  2. Step 2: Convert to fraction form
    29,291.96/43,938.48 = 9,570.44/x
  3. Step 3: Cross multiply
    29,291.96x = 43,938.48 × 9,570.44
  4. Step 4: Simplify right side
    29,291.96x = 420,510,586.53
  5. Step 5: Solve for x
    x = 420,510,586.53/29,291.96
  6. Step 6: Final answer
    x = 14,355.84

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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.