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Finding the Fourth Proportional to 85,782.98, 128,499.42 and 44,142.50

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Solution

The fourth proportional to 85,782.98, 128,499.42 and 44,142.50 is: 66,123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,782.98 : 128,499.42 = 44,142.50 : x
  2. Step 2: Convert to fraction form
    85,782.98/128,499.42 = 44,142.50/x
  3. Step 3: Cross multiply
    85,782.98x = 128,499.42 × 44,142.50
  4. Step 4: Simplify right side
    85,782.98x = 5,672,285,647.35
  5. Step 5: Solve for x
    x = 5,672,285,647.35/85,782.98
  6. Step 6: Final answer
    x = 66,123.67

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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.