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Finding the Fourth Proportional to 30,920.46, 46,383.28 and 9,863.52

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Solution

The fourth proportional to 30,920.46, 46,383.28 and 9,863.52 is: 14,796.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,920.46 : 46,383.28 = 9,863.52 : x
  2. Step 2: Convert to fraction form
    30,920.46/46,383.28 = 9,863.52/x
  3. Step 3: Cross multiply
    30,920.46x = 46,383.28 × 9,863.52
  4. Step 4: Simplify right side
    30,920.46x = 457,502,409.95
  5. Step 5: Solve for x
    x = 457,502,409.95/30,920.46
  6. Step 6: Final answer
    x = 14,796.11

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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.