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Finding the Fourth Proportional to 36,705.76, 50,653.76 and 19,938.76

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Solution

The fourth proportional to 36,705.76, 50,653.76 and 19,938.76 is: 27,515.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,705.76 : 50,653.76 = 19,938.76 : x
  2. Step 2: Convert to fraction form
    36,705.76/50,653.76 = 19,938.76/x
  3. Step 3: Cross multiply
    36,705.76x = 50,653.76 × 19,938.76
  4. Step 4: Simplify right side
    36,705.76x = 1,009,972,937.41
  5. Step 5: Solve for x
    x = 1,009,972,937.41/36,705.76
  6. Step 6: Final answer
    x = 27,515.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.