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Finding the Fourth Proportional to 30,940.84, 46,279.50 and 18,432.28

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Solution

The fourth proportional to 30,940.84, 46,279.50 and 18,432.28 is: 27,569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,940.84 : 46,279.50 = 18,432.28 : x
  2. Step 2: Convert to fraction form
    30,940.84/46,279.50 = 18,432.28/x
  3. Step 3: Cross multiply
    30,940.84x = 46,279.50 × 18,432.28
  4. Step 4: Simplify right side
    30,940.84x = 853,036,702.26
  5. Step 5: Solve for x
    x = 853,036,702.26/30,940.84
  6. Step 6: Final answer
    x = 27,569.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.