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Finding the Fourth Proportional to 53,415.78, 73,714.23 and 32,190.54

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Solution

The fourth proportional to 53,415.78, 73,714.23 and 32,190.54 is: 44,423.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,415.78 : 73,714.23 = 32,190.54 : x
  2. Step 2: Convert to fraction form
    53,415.78/73,714.23 = 32,190.54/x
  3. Step 3: Cross multiply
    53,415.78x = 73,714.23 × 32,190.54
  4. Step 4: Simplify right side
    53,415.78x = 2,372,900,869.38
  5. Step 5: Solve for x
    x = 2,372,900,869.38/53,415.78
  6. Step 6: Final answer
    x = 44,423.22

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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.