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Finding the Fourth Proportional to 36,705.20, 51,456.40 and 36,705.20

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Solution

The fourth proportional to 36,705.20, 51,456.40 and 36,705.20 is: 51,456.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,705.20 : 51,456.40 = 36,705.20 : x
  2. Step 2: Convert to fraction form
    36,705.20/51,456.40 = 36,705.20/x
  3. Step 3: Cross multiply
    36,705.20x = 51,456.40 × 36,705.20
  4. Step 4: Simplify right side
    36,705.20x = 1,888,717,453.28
  5. Step 5: Solve for x
    x = 1,888,717,453.28/36,705.20
  6. Step 6: Final answer
    x = 51,456.40

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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.