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Finding the Fourth Proportional to 53,201.52, 73,407.96 and 33,318

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Solution

The fourth proportional to 53,201.52, 73,407.96 and 33,318 is: 45,972.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,201.52 : 73,407.96 = 33,318 : x
  2. Step 2: Convert to fraction form
    53,201.52/73,407.96 = 33,318/x
  3. Step 3: Cross multiply
    53,201.52x = 73,407.96 × 33,318
  4. Step 4: Simplify right side
    53,201.52x = 2,445,806,411.28
  5. Step 5: Solve for x
    x = 2,445,806,411.28/53,201.52
  6. Step 6: Final answer
    x = 45,972.49

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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.