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Finding the Fourth Proportional to 30,442.67, 42,010.04 and 17,014.02

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Solution

The fourth proportional to 30,442.67, 42,010.04 and 17,014.02 is: 23,478.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,442.67 : 42,010.04 = 17,014.02 : x
  2. Step 2: Convert to fraction form
    30,442.67/42,010.04 = 17,014.02/x
  3. Step 3: Cross multiply
    30,442.67x = 42,010.04 × 17,014.02
  4. Step 4: Simplify right side
    30,442.67x = 714,759,575.69
  5. Step 5: Solve for x
    x = 714,759,575.69/30,442.67
  6. Step 6: Final answer
    x = 23,478.88

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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.