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Finding the Fourth Proportional to 30,730.29, 42,411.84 and 17,304.17

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Solution

The fourth proportional to 30,730.29, 42,411.84 and 17,304.17 is: 23,882.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,730.29 : 42,411.84 = 17,304.17 : x
  2. Step 2: Convert to fraction form
    30,730.29/42,411.84 = 17,304.17/x
  3. Step 3: Cross multiply
    30,730.29x = 42,411.84 × 17,304.17
  4. Step 4: Simplify right side
    30,730.29x = 733,901,477.31
  5. Step 5: Solve for x
    x = 733,901,477.31/30,730.29
  6. Step 6: Final answer
    x = 23,882.02

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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.