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Finding the Fourth Proportional to 30,998.40, 46,497.60 and 11,277.60

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Solution

The fourth proportional to 30,998.40, 46,497.60 and 11,277.60 is: 16,916.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,998.40 : 46,497.60 = 11,277.60 : x
  2. Step 2: Convert to fraction form
    30,998.40/46,497.60 = 11,277.60/x
  3. Step 3: Cross multiply
    30,998.40x = 46,497.60 × 11,277.60
  4. Step 4: Simplify right side
    30,998.40x = 524,381,333.76
  5. Step 5: Solve for x
    x = 524,381,333.76/30,998.40
  6. Step 6: Final answer
    x = 16,916.40

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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.