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Finding the Fourth Proportional to 30,842.17, 42,568.94 and 19,526.75

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Solution

The fourth proportional to 30,842.17, 42,568.94 and 19,526.75 is: 26,951.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842.17 : 42,568.94 = 19,526.75 : x
  2. Step 2: Convert to fraction form
    30,842.17/42,568.94 = 19,526.75/x
  3. Step 3: Cross multiply
    30,842.17x = 42,568.94 × 19,526.75
  4. Step 4: Simplify right side
    30,842.17x = 831,233,049.15
  5. Step 5: Solve for x
    x = 831,233,049.15/30,842.17
  6. Step 6: Final answer
    x = 26,951.19

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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.