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Finding the Fourth Proportional to 53,204.70, 79,792.65 and 15,764.70

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Solution

The fourth proportional to 53,204.70, 79,792.65 and 15,764.70 is: 23,642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,204.70 : 79,792.65 = 15,764.70 : x
  2. Step 2: Convert to fraction form
    53,204.70/79,792.65 = 15,764.70/x
  3. Step 3: Cross multiply
    53,204.70x = 79,792.65 × 15,764.70
  4. Step 4: Simplify right side
    53,204.70x = 1,257,907,189.46
  5. Step 5: Solve for x
    x = 1,257,907,189.46/53,204.70
  6. Step 6: Final answer
    x = 23,642.78

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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.