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Finding the Fourth Proportional to 98,733, 136,254.96 and 54,021

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Solution

The fourth proportional to 98,733, 136,254.96 and 54,021 is: 74,550.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,733 : 136,254.96 = 54,021 : x
  2. Step 2: Convert to fraction form
    98,733/136,254.96 = 54,021/x
  3. Step 3: Cross multiply
    98,733x = 136,254.96 × 54,021
  4. Step 4: Simplify right side
    98,733x = 7,360,629,194.16
  5. Step 5: Solve for x
    x = 7,360,629,194.16/98,733
  6. Step 6: Final answer
    x = 74,550.85

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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.