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Finding the Fourth Proportional to 97,992.84, 146,996.10 and 38,828.34

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Solution

The fourth proportional to 97,992.84, 146,996.10 and 38,828.34 is: 58,245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,992.84 : 146,996.10 = 38,828.34 : x
  2. Step 2: Convert to fraction form
    97,992.84/146,996.10 = 38,828.34/x
  3. Step 3: Cross multiply
    97,992.84x = 146,996.10 × 38,828.34
  4. Step 4: Simplify right side
    97,992.84x = 5,707,614,549.47
  5. Step 5: Solve for x
    x = 5,707,614,549.47/97,992.84
  6. Step 6: Final answer
    x = 58,245.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.