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Finding the Fourth Proportional to 71,094.82, 98,109.30 and 38,828.38

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Solution

The fourth proportional to 71,094.82, 98,109.30 and 38,828.38 is: 53,582.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,094.82 : 98,109.30 = 38,828.38 : x
  2. Step 2: Convert to fraction form
    71,094.82/98,109.30 = 38,828.38/x
  3. Step 3: Cross multiply
    71,094.82x = 98,109.30 × 38,828.38
  4. Step 4: Simplify right side
    71,094.82x = 3,809,425,181.93
  5. Step 5: Solve for x
    x = 3,809,425,181.93/71,094.82
  6. Step 6: Final answer
    x = 53,582.32

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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.