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Finding the Fourth Proportional to 34,020, 46,947.84 and 19,116

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Solution

The fourth proportional to 34,020, 46,947.84 and 19,116 is: 26,380.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,020 : 46,947.84 = 19,116 : x
  2. Step 2: Convert to fraction form
    34,020/46,947.84 = 19,116/x
  3. Step 3: Cross multiply
    34,020x = 46,947.84 × 19,116
  4. Step 4: Simplify right side
    34,020x = 897,454,909.44
  5. Step 5: Solve for x
    x = 897,454,909.44/34,020
  6. Step 6: Final answer
    x = 26,380.21

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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.