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Finding the Fourth Proportional to 74,071.77, 102,218.70 and 40,080.85

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Solution

The fourth proportional to 74,071.77, 102,218.70 and 40,080.85 is: 55,311.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,071.77 : 102,218.70 = 40,080.85 : x
  2. Step 2: Convert to fraction form
    74,071.77/102,218.70 = 40,080.85/x
  3. Step 3: Cross multiply
    74,071.77x = 102,218.70 × 40,080.85
  4. Step 4: Simplify right side
    74,071.77x = 4,097,012,381.90
  5. Step 5: Solve for x
    x = 4,097,012,381.90/74,071.77
  6. Step 6: Final answer
    x = 55,311.39

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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.