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Finding the Fourth Proportional to 30,688.40, 46,000.20 and 11,961.20

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Solution

The fourth proportional to 30,688.40, 46,000.20 and 11,961.20 is: 17,929.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,688.40 : 46,000.20 = 11,961.20 : x
  2. Step 2: Convert to fraction form
    30,688.40/46,000.20 = 11,961.20/x
  3. Step 3: Cross multiply
    30,688.40x = 46,000.20 × 11,961.20
  4. Step 4: Simplify right side
    30,688.40x = 550,217,592.24
  5. Step 5: Solve for x
    x = 550,217,592.24/30,688.40
  6. Step 6: Final answer
    x = 17,929.17

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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.