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Finding the Fourth Proportional to 30,539.84, 42,147.54 and 17,110.85

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Solution

The fourth proportional to 30,539.84, 42,147.54 and 17,110.85 is: 23,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,539.84 : 42,147.54 = 17,110.85 : x
  2. Step 2: Convert to fraction form
    30,539.84/42,147.54 = 17,110.85/x
  3. Step 3: Cross multiply
    30,539.84x = 42,147.54 × 17,110.85
  4. Step 4: Simplify right side
    30,539.84x = 721,180,024.07
  5. Step 5: Solve for x
    x = 721,180,024.07/30,539.84
  6. Step 6: Final answer
    x = 23,614.40

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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.