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Finding the Fourth Proportional to 74,571, 102,907.98 and 41,039.16

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Solution

The fourth proportional to 74,571, 102,907.98 and 41,039.16 is: 56,634.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,571 : 102,907.98 = 41,039.16 : x
  2. Step 2: Convert to fraction form
    74,571/102,907.98 = 41,039.16/x
  3. Step 3: Cross multiply
    74,571x = 102,907.98 × 41,039.16
  4. Step 4: Simplify right side
    74,571x = 4,223,257,056.50
  5. Step 5: Solve for x
    x = 4,223,257,056.50/74,571
  6. Step 6: Final answer
    x = 56,634.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.