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Finding the Fourth Proportional to 53,283.92, 73,531.44 and 29,410.58

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Solution

The fourth proportional to 53,283.92, 73,531.44 and 29,410.58 is: 40,586.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,283.92 : 73,531.44 = 29,410.58 : x
  2. Step 2: Convert to fraction form
    53,283.92/73,531.44 = 29,410.58/x
  3. Step 3: Cross multiply
    53,283.92x = 73,531.44 × 29,410.58
  4. Step 4: Simplify right side
    53,283.92x = 2,162,601,930.98
  5. Step 5: Solve for x
    x = 2,162,601,930.98/53,283.92
  6. Step 6: Final answer
    x = 40,586.39

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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.