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Finding the Fourth Proportional to 98,345.25, 135,716.58 and 53,633.25

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Solution

The fourth proportional to 98,345.25, 135,716.58 and 53,633.25 is: 74,013.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,345.25 : 135,716.58 = 53,633.25 : x
  2. Step 2: Convert to fraction form
    98,345.25/135,716.58 = 53,633.25/x
  3. Step 3: Cross multiply
    98,345.25x = 135,716.58 × 53,633.25
  4. Step 4: Simplify right side
    98,345.25x = 7,278,921,264.29
  5. Step 5: Solve for x
    x = 7,278,921,264.29/98,345.25
  6. Step 6: Final answer
    x = 74,013.96

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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.