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Finding the Fourth Proportional to 30,935, 46,409.34 and 13,164.73

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Solution

The fourth proportional to 30,935, 46,409.34 and 13,164.73 is: 19,750.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,935 : 46,409.34 = 13,164.73 : x
  2. Step 2: Convert to fraction form
    30,935/46,409.34 = 13,164.73/x
  3. Step 3: Cross multiply
    30,935x = 46,409.34 × 13,164.73
  4. Step 4: Simplify right side
    30,935x = 610,966,198.53
  5. Step 5: Solve for x
    x = 610,966,198.53/30,935
  6. Step 6: Final answer
    x = 19,750.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.