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Finding the Fourth Proportional to 115,596.36, 173,444.64 and 40,770

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Solution

The fourth proportional to 115,596.36, 173,444.64 and 40,770 is: 61,172.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,596.36 : 173,444.64 = 40,770 : x
  2. Step 2: Convert to fraction form
    115,596.36/173,444.64 = 40,770/x
  3. Step 3: Cross multiply
    115,596.36x = 173,444.64 × 40,770
  4. Step 4: Simplify right side
    115,596.36x = 7,071,337,972.80
  5. Step 5: Solve for x
    x = 7,071,337,972.80/115,596.36
  6. Step 6: Final answer
    x = 61,172.67

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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.