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Finding the Fourth Proportional to 34,782.60, 52,202.70 and 16,091.40

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Solution

The fourth proportional to 34,782.60, 52,202.70 and 16,091.40 is: 24,150.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,782.60 : 52,202.70 = 16,091.40 : x
  2. Step 2: Convert to fraction form
    34,782.60/52,202.70 = 16,091.40/x
  3. Step 3: Cross multiply
    34,782.60x = 52,202.70 × 16,091.40
  4. Step 4: Simplify right side
    34,782.60x = 840,014,526.78
  5. Step 5: Solve for x
    x = 840,014,526.78/34,782.60
  6. Step 6: Final answer
    x = 24,150.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.