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Finding the Fourth Proportional to 36,638.40, 51,410.40 and 36,638.40

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Solution

The fourth proportional to 36,638.40, 51,410.40 and 36,638.40 is: 51,410.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,638.40 : 51,410.40 = 36,638.40 : x
  2. Step 2: Convert to fraction form
    36,638.40/51,410.40 = 36,638.40/x
  3. Step 3: Cross multiply
    36,638.40x = 51,410.40 × 36,638.40
  4. Step 4: Simplify right side
    36,638.40x = 1,883,594,799.36
  5. Step 5: Solve for x
    x = 1,883,594,799.36/36,638.40
  6. Step 6: Final answer
    x = 51,410.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.