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Finding the Fourth Proportional to 65,205.36, 89,980.23 and 40,050

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Solution

The fourth proportional to 65,205.36, 89,980.23 and 40,050 is: 55,267.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,205.36 : 89,980.23 = 40,050 : x
  2. Step 2: Convert to fraction form
    65,205.36/89,980.23 = 40,050/x
  3. Step 3: Cross multiply
    65,205.36x = 89,980.23 × 40,050
  4. Step 4: Simplify right side
    65,205.36x = 3,603,708,211.50
  5. Step 5: Solve for x
    x = 3,603,708,211.50/65,205.36
  6. Step 6: Final answer
    x = 55,267.05

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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.