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Finding the Fourth Proportional to 98,529.25, 135,970.91 and 53,817.25

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Solution

The fourth proportional to 98,529.25, 135,970.91 and 53,817.25 is: 74,268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,529.25 : 135,970.91 = 53,817.25 : x
  2. Step 2: Convert to fraction form
    98,529.25/135,970.91 = 53,817.25/x
  3. Step 3: Cross multiply
    98,529.25x = 135,970.91 × 53,817.25
  4. Step 4: Simplify right side
    98,529.25x = 7,317,580,456.20
  5. Step 5: Solve for x
    x = 7,317,580,456.20/98,529.25
  6. Step 6: Final answer
    x = 74,268.10

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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.