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Finding the Fourth Proportional to 30,690.58, 42,429.11 and 30,410.37

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Solution

The fourth proportional to 30,690.58, 42,429.11 and 30,410.37 is: 42,041.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,690.58 : 42,429.11 = 30,410.37 : x
  2. Step 2: Convert to fraction form
    30,690.58/42,429.11 = 30,410.37/x
  3. Step 3: Cross multiply
    30,690.58x = 42,429.11 × 30,410.37
  4. Step 4: Simplify right side
    30,690.58x = 1,290,285,009.90
  5. Step 5: Solve for x
    x = 1,290,285,009.90/30,690.58
  6. Step 6: Final answer
    x = 42,041.73

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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.