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Finding the Fourth Proportional to 30,851.93, 42,575.48 and 17,427.53

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Solution

The fourth proportional to 30,851.93, 42,575.48 and 17,427.53 is: 24,049.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,851.93 : 42,575.48 = 17,427.53 : x
  2. Step 2: Convert to fraction form
    30,851.93/42,575.48 = 17,427.53/x
  3. Step 3: Cross multiply
    30,851.93x = 42,575.48 × 17,427.53
  4. Step 4: Simplify right side
    30,851.93x = 741,985,454.96
  5. Step 5: Solve for x
    x = 741,985,454.96/30,851.93
  6. Step 6: Final answer
    x = 24,049.89

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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.