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Finding the Fourth Proportional to 30,820.38, 46,209.69 and 12,088.68

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Solution

The fourth proportional to 30,820.38, 46,209.69 and 12,088.68 is: 18,124.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,820.38 : 46,209.69 = 12,088.68 : x
  2. Step 2: Convert to fraction form
    30,820.38/46,209.69 = 12,088.68/x
  3. Step 3: Cross multiply
    30,820.38x = 46,209.69 × 12,088.68
  4. Step 4: Simplify right side
    30,820.38x = 558,614,155.31
  5. Step 5: Solve for x
    x = 558,614,155.31/30,820.38
  6. Step 6: Final answer
    x = 18,124.83

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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.