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Finding the Fourth Proportional to 34,111, 47,074.60 and 19,003.67

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Solution

The fourth proportional to 34,111, 47,074.60 and 19,003.67 is: 26,225.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,111 : 47,074.60 = 19,003.67 : x
  2. Step 2: Convert to fraction form
    34,111/47,074.60 = 19,003.67/x
  3. Step 3: Cross multiply
    34,111x = 47,074.60 × 19,003.67
  4. Step 4: Simplify right side
    34,111x = 894,590,163.78
  5. Step 5: Solve for x
    x = 894,590,163.78/34,111
  6. Step 6: Final answer
    x = 26,225.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.