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Finding the Fourth Proportional to 53,203.78, 79,794.46 and 15,764.17

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Solution

The fourth proportional to 53,203.78, 79,794.46 and 15,764.17 is: 23,642.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,203.78 : 79,794.46 = 15,764.17 : x
  2. Step 2: Convert to fraction form
    53,203.78/79,794.46 = 15,764.17/x
  3. Step 3: Cross multiply
    53,203.78x = 79,794.46 × 15,764.17
  4. Step 4: Simplify right side
    53,203.78x = 1,257,893,432.50
  5. Step 5: Solve for x
    x = 1,257,893,432.50/53,203.78
  6. Step 6: Final answer
    x = 23,642.93

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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.