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Finding the Fourth Proportional to 46,172.50, 69,173.70 and 41,191.41

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Solution

The fourth proportional to 46,172.50, 69,173.70 and 41,191.41 is: 61,711.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,172.50 : 69,173.70 = 41,191.41 : x
  2. Step 2: Convert to fraction form
    46,172.50/69,173.70 = 41,191.41/x
  3. Step 3: Cross multiply
    46,172.50x = 69,173.70 × 41,191.41
  4. Step 4: Simplify right side
    46,172.50x = 2,849,362,237.92
  5. Step 5: Solve for x
    x = 2,849,362,237.92/46,172.50
  6. Step 6: Final answer
    x = 61,711.24

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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.