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Finding the Fourth Proportional to 29,938.80, 44,913.60 and 12,410.40

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Solution

The fourth proportional to 29,938.80, 44,913.60 and 12,410.40 is: 18,617.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,938.80 : 44,913.60 = 12,410.40 : x
  2. Step 2: Convert to fraction form
    29,938.80/44,913.60 = 12,410.40/x
  3. Step 3: Cross multiply
    29,938.80x = 44,913.60 × 12,410.40
  4. Step 4: Simplify right side
    29,938.80x = 557,395,741.44
  5. Step 5: Solve for x
    x = 557,395,741.44/29,938.80
  6. Step 6: Final answer
    x = 18,617.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.