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Finding the Fourth Proportional to 30,862.17, 42,589.04 and 17,433

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Solution

The fourth proportional to 30,862.17, 42,589.04 and 17,433 is: 24,057.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,862.17 : 42,589.04 = 17,433 : x
  2. Step 2: Convert to fraction form
    30,862.17/42,589.04 = 17,433/x
  3. Step 3: Cross multiply
    30,862.17x = 42,589.04 × 17,433
  4. Step 4: Simplify right side
    30,862.17x = 742,454,647.16
  5. Step 5: Solve for x
    x = 742,454,647.16/30,862.17
  6. Step 6: Final answer
    x = 24,057.11

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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.