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Finding the Fourth Proportional to 66,683.50, 100,026.21 and 17,435.50

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Solution

The fourth proportional to 66,683.50, 100,026.21 and 17,435.50 is: 26,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,683.50 : 100,026.21 = 17,435.50 : x
  2. Step 2: Convert to fraction form
    66,683.50/100,026.21 = 17,435.50/x
  3. Step 3: Cross multiply
    66,683.50x = 100,026.21 × 17,435.50
  4. Step 4: Simplify right side
    66,683.50x = 1,744,006,984.46
  5. Step 5: Solve for x
    x = 1,744,006,984.46/66,683.50
  6. Step 6: Final answer
    x = 26,153.50

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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.