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Finding the Fourth Proportional to 30,954.44, 46,433.10 and 12,485

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Solution

The fourth proportional to 30,954.44, 46,433.10 and 12,485 is: 18,728.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,954.44 : 46,433.10 = 12,485 : x
  2. Step 2: Convert to fraction form
    30,954.44/46,433.10 = 12,485/x
  3. Step 3: Cross multiply
    30,954.44x = 46,433.10 × 12,485
  4. Step 4: Simplify right side
    30,954.44x = 579,717,253.50
  5. Step 5: Solve for x
    x = 579,717,253.50/30,954.44
  6. Step 6: Final answer
    x = 18,728.08

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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.