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Finding the Fourth Proportional to 53,094.56, 73,240.02 and 33,188

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Solution

The fourth proportional to 53,094.56, 73,240.02 and 33,188 is: 45,780.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,094.56 : 73,240.02 = 33,188 : x
  2. Step 2: Convert to fraction form
    53,094.56/73,240.02 = 33,188/x
  3. Step 3: Cross multiply
    53,094.56x = 73,240.02 × 33,188
  4. Step 4: Simplify right side
    53,094.56x = 2,430,689,783.76
  5. Step 5: Solve for x
    x = 2,430,689,783.76/53,094.56
  6. Step 6: Final answer
    x = 45,780.39

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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.