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Finding the Fourth Proportional to 80,084.16, 110,522.96 and 46,548

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Solution

The fourth proportional to 80,084.16, 110,522.96 and 46,548 is: 64,240.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,084.16 : 110,522.96 = 46,548 : x
  2. Step 2: Convert to fraction form
    80,084.16/110,522.96 = 46,548/x
  3. Step 3: Cross multiply
    80,084.16x = 110,522.96 × 46,548
  4. Step 4: Simplify right side
    80,084.16x = 5,144,622,742.08
  5. Step 5: Solve for x
    x = 5,144,622,742.08/80,084.16
  6. Step 6: Final answer
    x = 64,240.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.