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Finding the Fourth Proportional to 30,575.68, 42,190.68 and 17,998

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Solution

The fourth proportional to 30,575.68, 42,190.68 and 17,998 is: 24,835.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,575.68 : 42,190.68 = 17,998 : x
  2. Step 2: Convert to fraction form
    30,575.68/42,190.68 = 17,998/x
  3. Step 3: Cross multiply
    30,575.68x = 42,190.68 × 17,998
  4. Step 4: Simplify right side
    30,575.68x = 759,347,858.64
  5. Step 5: Solve for x
    x = 759,347,858.64/30,575.68
  6. Step 6: Final answer
    x = 24,835.03

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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.