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Finding the Fourth Proportional to 30,827.70, 46,241.55 and 10,051.20

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Solution

The fourth proportional to 30,827.70, 46,241.55 and 10,051.20 is: 15,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,827.70 : 46,241.55 = 10,051.20 : x
  2. Step 2: Convert to fraction form
    30,827.70/46,241.55 = 10,051.20/x
  3. Step 3: Cross multiply
    30,827.70x = 46,241.55 × 10,051.20
  4. Step 4: Simplify right side
    30,827.70x = 464,783,067.36
  5. Step 5: Solve for x
    x = 464,783,067.36/30,827.70
  6. Step 6: Final answer
    x = 15,076.80

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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.