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Finding the Fourth Proportional to 98,026, 135,276.96 and 53,314

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Solution

The fourth proportional to 98,026, 135,276.96 and 53,314 is: 73,573.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,026 : 135,276.96 = 53,314 : x
  2. Step 2: Convert to fraction form
    98,026/135,276.96 = 53,314/x
  3. Step 3: Cross multiply
    98,026x = 135,276.96 × 53,314
  4. Step 4: Simplify right side
    98,026x = 7,212,155,845.44
  5. Step 5: Solve for x
    x = 7,212,155,845.44/98,026
  6. Step 6: Final answer
    x = 73,573.91

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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.