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Finding the Fourth Proportional to 30,745.34, 46,093.10 and 12,964.49

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Solution

The fourth proportional to 30,745.34, 46,093.10 and 12,964.49 is: 19,436.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,745.34 : 46,093.10 = 12,964.49 : x
  2. Step 2: Convert to fraction form
    30,745.34/46,093.10 = 12,964.49/x
  3. Step 3: Cross multiply
    30,745.34x = 46,093.10 × 12,964.49
  4. Step 4: Simplify right side
    30,745.34x = 597,573,534.02
  5. Step 5: Solve for x
    x = 597,573,534.02/30,745.34
  6. Step 6: Final answer
    x = 19,436.23

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1.5x scale

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.