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Finding the Fourth Proportional to 50,440, 69,612.08 and 28,084

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Solution

The fourth proportional to 50,440, 69,612.08 and 28,084 is: 38,758.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,440 : 69,612.08 = 28,084 : x
  2. Step 2: Convert to fraction form
    50,440/69,612.08 = 28,084/x
  3. Step 3: Cross multiply
    50,440x = 69,612.08 × 28,084
  4. Step 4: Simplify right side
    50,440x = 1,954,985,654.72
  5. Step 5: Solve for x
    x = 1,954,985,654.72/50,440
  6. Step 6: Final answer
    x = 38,758.64

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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.