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Finding the Fourth Proportional to 98,273, 135,616.62 and 53,561

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Solution

The fourth proportional to 98,273, 135,616.62 and 53,561 is: 73,914.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,273 : 135,616.62 = 53,561 : x
  2. Step 2: Convert to fraction form
    98,273/135,616.62 = 53,561/x
  3. Step 3: Cross multiply
    98,273x = 135,616.62 × 53,561
  4. Step 4: Simplify right side
    98,273x = 7,263,761,783.82
  5. Step 5: Solve for x
    x = 7,263,761,783.82/98,273
  6. Step 6: Final answer
    x = 73,914.11

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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.