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Finding the Fourth Proportional to 29,942.14, 44,918.34 and 12,402.40

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Solution

The fourth proportional to 29,942.14, 44,918.34 and 12,402.40 is: 18,605.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,942.14 : 44,918.34 = 12,402.40 : x
  2. Step 2: Convert to fraction form
    29,942.14/44,918.34 = 12,402.40/x
  3. Step 3: Cross multiply
    29,942.14x = 44,918.34 × 12,402.40
  4. Step 4: Simplify right side
    29,942.14x = 557,095,220.02
  5. Step 5: Solve for x
    x = 557,095,220.02/29,942.14
  6. Step 6: Final answer
    x = 18,605.72

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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.