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Finding the Fourth Proportional to 41,804.50, 62,706.75 and 14,102.50

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Solution

The fourth proportional to 41,804.50, 62,706.75 and 14,102.50 is: 21,153.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,804.50 : 62,706.75 = 14,102.50 : x
  2. Step 2: Convert to fraction form
    41,804.50/62,706.75 = 14,102.50/x
  3. Step 3: Cross multiply
    41,804.50x = 62,706.75 × 14,102.50
  4. Step 4: Simplify right side
    41,804.50x = 884,321,941.88
  5. Step 5: Solve for x
    x = 884,321,941.88/41,804.50
  6. Step 6: Final answer
    x = 21,153.75

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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.