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Finding the Fourth Proportional to 53,432.96, 73,731.46 and 29,556.32

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Solution

The fourth proportional to 53,432.96, 73,731.46 and 29,556.32 is: 40,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,432.96 : 73,731.46 = 29,556.32 : x
  2. Step 2: Convert to fraction form
    53,432.96/73,731.46 = 29,556.32/x
  3. Step 3: Cross multiply
    53,432.96x = 73,731.46 × 29,556.32
  4. Step 4: Simplify right side
    53,432.96x = 2,179,230,625.83
  5. Step 5: Solve for x
    x = 2,179,230,625.83/53,432.96
  6. Step 6: Final answer
    x = 40,784.39

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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.