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Finding the Fourth Proportional to 30,963.28, 46,435 and 10,181.84

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Solution

The fourth proportional to 30,963.28, 46,435 and 10,181.84 is: 15,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,963.28 : 46,435 = 10,181.84 : x
  2. Step 2: Convert to fraction form
    30,963.28/46,435 = 10,181.84/x
  3. Step 3: Cross multiply
    30,963.28x = 46,435 × 10,181.84
  4. Step 4: Simplify right side
    30,963.28x = 472,793,740.40
  5. Step 5: Solve for x
    x = 472,793,740.40/30,963.28
  6. Step 6: Final answer
    x = 15,269.50

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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.