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Finding the Fourth Proportional to 98,276.82, 135,625.77 and 53,564.82

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Solution

The fourth proportional to 98,276.82, 135,625.77 and 53,564.82 is: 73,921.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,276.82 : 135,625.77 = 53,564.82 : x
  2. Step 2: Convert to fraction form
    98,276.82/135,625.77 = 53,564.82/x
  3. Step 3: Cross multiply
    98,276.82x = 135,625.77 × 53,564.82
  4. Step 4: Simplify right side
    98,276.82x = 7,264,769,957.41
  5. Step 5: Solve for x
    x = 7,264,769,957.41/98,276.82
  6. Step 6: Final answer
    x = 73,921.50

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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.