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Finding the Fourth Proportional to 98,402.56, 135,797.10 and 53,690.56

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Solution

The fourth proportional to 98,402.56, 135,797.10 and 53,690.56 is: 74,093.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,402.56 : 135,797.10 = 53,690.56 : x
  2. Step 2: Convert to fraction form
    98,402.56/135,797.10 = 53,690.56/x
  3. Step 3: Cross multiply
    98,402.56x = 135,797.10 × 53,690.56
  4. Step 4: Simplify right side
    98,402.56x = 7,291,022,345.38
  5. Step 5: Solve for x
    x = 7,291,022,345.38/98,402.56
  6. Step 6: Final answer
    x = 74,093.83

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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.