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Finding the Fourth Proportional to 52,038.75, 71,813.49 and 29,682.75

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Solution

The fourth proportional to 52,038.75, 71,813.49 and 29,682.75 is: 40,962.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,038.75 : 71,813.49 = 29,682.75 : x
  2. Step 2: Convert to fraction form
    52,038.75/71,813.49 = 29,682.75/x
  3. Step 3: Cross multiply
    52,038.75x = 71,813.49 × 29,682.75
  4. Step 4: Simplify right side
    52,038.75x = 2,131,621,870.30
  5. Step 5: Solve for x
    x = 2,131,621,870.30/52,038.75
  6. Step 6: Final answer
    x = 40,962.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.