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Finding the Fourth Proportional to 43,402.40, 65,006.40 and 33,509.60

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Solution

The fourth proportional to 43,402.40, 65,006.40 and 33,509.60 is: 50,189.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,402.40 : 65,006.40 = 33,509.60 : x
  2. Step 2: Convert to fraction form
    43,402.40/65,006.40 = 33,509.60/x
  3. Step 3: Cross multiply
    43,402.40x = 65,006.40 × 33,509.60
  4. Step 4: Simplify right side
    43,402.40x = 2,178,338,461.44
  5. Step 5: Solve for x
    x = 2,178,338,461.44/43,402.40
  6. Step 6: Final answer
    x = 50,189.35

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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.