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Finding the Fourth Proportional to 63,084, 94,626 and 35,384.16

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Solution

The fourth proportional to 63,084, 94,626 and 35,384.16 is: 53,076.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,084 : 94,626 = 35,384.16 : x
  2. Step 2: Convert to fraction form
    63,084/94,626 = 35,384.16/x
  3. Step 3: Cross multiply
    63,084x = 94,626 × 35,384.16
  4. Step 4: Simplify right side
    63,084x = 3,348,261,524.16
  5. Step 5: Solve for x
    x = 3,348,261,524.16/63,084
  6. Step 6: Final answer
    x = 53,076.24

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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.