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Finding the Fourth Proportional to 74,465.97, 102,763.83 and 40,474.46

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Solution

The fourth proportional to 74,465.97, 102,763.83 and 40,474.46 is: 55,855.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,465.97 : 102,763.83 = 40,474.46 : x
  2. Step 2: Convert to fraction form
    74,465.97/102,763.83 = 40,474.46/x
  3. Step 3: Cross multiply
    74,465.97x = 102,763.83 × 40,474.46
  4. Step 4: Simplify right side
    74,465.97x = 4,159,310,526.78
  5. Step 5: Solve for x
    x = 4,159,310,526.78/74,465.97
  6. Step 6: Final answer
    x = 55,855.18

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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.