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Finding the Fourth Proportional to 34,065, 47,011.94 and 19,161.96

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Solution

The fourth proportional to 34,065, 47,011.94 and 19,161.96 is: 26,444.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,065 : 47,011.94 = 19,161.96 : x
  2. Step 2: Convert to fraction form
    34,065/47,011.94 = 19,161.96/x
  3. Step 3: Cross multiply
    34,065x = 47,011.94 × 19,161.96
  4. Step 4: Simplify right side
    34,065x = 900,840,913.80
  5. Step 5: Solve for x
    x = 900,840,913.80/34,065
  6. Step 6: Final answer
    x = 26,444.76

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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.