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Finding the Fourth Proportional to 30,820.32, 46,199.70 and 12,074.76

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Solution

The fourth proportional to 30,820.32, 46,199.70 and 12,074.76 is: 18,100.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,820.32 : 46,199.70 = 12,074.76 : x
  2. Step 2: Convert to fraction form
    30,820.32/46,199.70 = 12,074.76/x
  3. Step 3: Cross multiply
    30,820.32x = 46,199.70 × 12,074.76
  4. Step 4: Simplify right side
    30,820.32x = 557,850,289.57
  5. Step 5: Solve for x
    x = 557,850,289.57/30,820.32
  6. Step 6: Final answer
    x = 18,100.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.