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Finding the Fourth Proportional to 66,683, 100,025.46 and 17,435

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Solution

The fourth proportional to 66,683, 100,025.46 and 17,435 is: 26,152.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,683 : 100,025.46 = 17,435 : x
  2. Step 2: Convert to fraction form
    66,683/100,025.46 = 17,435/x
  3. Step 3: Cross multiply
    66,683x = 100,025.46 × 17,435
  4. Step 4: Simplify right side
    66,683x = 1,743,943,895.10
  5. Step 5: Solve for x
    x = 1,743,943,895.10/66,683
  6. Step 6: Final answer
    x = 26,152.75

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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.