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Finding the Fourth Proportional to 50,435.60, 69,570.12 and 31,322

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Solution

The fourth proportional to 50,435.60, 69,570.12 and 31,322 is: 43,205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,435.60 : 69,570.12 = 31,322 : x
  2. Step 2: Convert to fraction form
    50,435.60/69,570.12 = 31,322/x
  3. Step 3: Cross multiply
    50,435.60x = 69,570.12 × 31,322
  4. Step 4: Simplify right side
    50,435.60x = 2,179,075,298.64
  5. Step 5: Solve for x
    x = 2,179,075,298.64/50,435.60
  6. Step 6: Final answer
    x = 43,205.10

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