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Finding the Fourth Proportional to 30,920.10, 46,383.84 and 9,852.84

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Solution

The fourth proportional to 30,920.10, 46,383.84 and 9,852.84 is: 14,780.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,920.10 : 46,383.84 = 9,852.84 : x
  2. Step 2: Convert to fraction form
    30,920.10/46,383.84 = 9,852.84/x
  3. Step 3: Cross multiply
    30,920.10x = 46,383.84 × 9,852.84
  4. Step 4: Simplify right side
    30,920.10x = 457,012,554.11
  5. Step 5: Solve for x
    x = 457,012,554.11/30,920.10
  6. Step 6: Final answer
    x = 14,780.44

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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.