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Finding the Fourth Proportional to 30,568.68, 42,184.34 and 17,139.90

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Solution

The fourth proportional to 30,568.68, 42,184.34 and 17,139.90 is: 23,652.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,568.68 : 42,184.34 = 17,139.90 : x
  2. Step 2: Convert to fraction form
    30,568.68/42,184.34 = 17,139.90/x
  3. Step 3: Cross multiply
    30,568.68x = 42,184.34 × 17,139.90
  4. Step 4: Simplify right side
    30,568.68x = 723,035,369.17
  5. Step 5: Solve for x
    x = 723,035,369.17/30,568.68
  6. Step 6: Final answer
    x = 23,652.82

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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.