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Finding the Fourth Proportional to 43,827.48, 65,734.74 and 16,119

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Solution

The fourth proportional to 43,827.48, 65,734.74 and 16,119 is: 24,176.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,827.48 : 65,734.74 = 16,119 : x
  2. Step 2: Convert to fraction form
    43,827.48/65,734.74 = 16,119/x
  3. Step 3: Cross multiply
    43,827.48x = 65,734.74 × 16,119
  4. Step 4: Simplify right side
    43,827.48x = 1,059,578,274.06
  5. Step 5: Solve for x
    x = 1,059,578,274.06/43,827.48
  6. Step 6: Final answer
    x = 24,176.12

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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.