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Finding the Fourth Proportional to 98,545.31, 135,992.49 and 53,223.28

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Solution

The fourth proportional to 98,545.31, 135,992.49 and 53,223.28 is: 73,448.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,545.31 : 135,992.49 = 53,223.28 : x
  2. Step 2: Convert to fraction form
    98,545.31/135,992.49 = 53,223.28/x
  3. Step 3: Cross multiply
    98,545.31x = 135,992.49 × 53,223.28
  4. Step 4: Simplify right side
    98,545.31x = 7,237,965,427.09
  5. Step 5: Solve for x
    x = 7,237,965,427.09/98,545.31
  6. Step 6: Final answer
    x = 73,448.10

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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.