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Finding the Fourth Proportional to 85,307.70, 127,986.14 and 26,152.09

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Solution

The fourth proportional to 85,307.70, 127,986.14 and 26,152.09 is: 39,235.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,307.70 : 127,986.14 = 26,152.09 : x
  2. Step 2: Convert to fraction form
    85,307.70/127,986.14 = 26,152.09/x
  3. Step 3: Cross multiply
    85,307.70x = 127,986.14 × 26,152.09
  4. Step 4: Simplify right side
    85,307.70x = 3,347,105,052.03
  5. Step 5: Solve for x
    x = 3,347,105,052.03/85,307.70
  6. Step 6: Final answer
    x = 39,235.67

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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.