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Finding the Fourth Proportional to 114,469.10, 171,702.84 and 35,583.20

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Solution

The fourth proportional to 114,469.10, 171,702.84 and 35,583.20 is: 53,374.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,469.10 : 171,702.84 = 35,583.20 : x
  2. Step 2: Convert to fraction form
    114,469.10/171,702.84 = 35,583.20/x
  3. Step 3: Cross multiply
    114,469.10x = 171,702.84 × 35,583.20
  4. Step 4: Simplify right side
    114,469.10x = 6,109,736,496.29
  5. Step 5: Solve for x
    x = 6,109,736,496.29/114,469.10
  6. Step 6: Final answer
    x = 53,374.55

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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.