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Finding the Fourth Proportional to 30,482.60, 45,709.31 and 12,942.86

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Solution

The fourth proportional to 30,482.60, 45,709.31 and 12,942.86 is: 19,408.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,482.60 : 45,709.31 = 12,942.86 : x
  2. Step 2: Convert to fraction form
    30,482.60/45,709.31 = 12,942.86/x
  3. Step 3: Cross multiply
    30,482.60x = 45,709.31 × 12,942.86
  4. Step 4: Simplify right side
    30,482.60x = 591,609,003.84
  5. Step 5: Solve for x
    x = 591,609,003.84/30,482.60
  6. Step 6: Final answer
    x = 19,408.09

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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.