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Finding the Fourth Proportional to 30,885.68, 46,337.16 and 12,154.16

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Solution

The fourth proportional to 30,885.68, 46,337.16 and 12,154.16 is: 18,234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,885.68 : 46,337.16 = 12,154.16 : x
  2. Step 2: Convert to fraction form
    30,885.68/46,337.16 = 12,154.16/x
  3. Step 3: Cross multiply
    30,885.68x = 46,337.16 × 12,154.16
  4. Step 4: Simplify right side
    30,885.68x = 563,189,256.59
  5. Step 5: Solve for x
    x = 563,189,256.59/30,885.68
  6. Step 6: Final answer
    x = 18,234.64

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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.