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Finding the Fourth Proportional to 97,636.32, 146,456.91 and 27,513

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Solution

The fourth proportional to 97,636.32, 146,456.91 and 27,513 is: 41,270.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,636.32 : 146,456.91 = 27,513 : x
  2. Step 2: Convert to fraction form
    97,636.32/146,456.91 = 27,513/x
  3. Step 3: Cross multiply
    97,636.32x = 146,456.91 × 27,513
  4. Step 4: Simplify right side
    97,636.32x = 4,029,468,964.83
  5. Step 5: Solve for x
    x = 4,029,468,964.83/97,636.32
  6. Step 6: Final answer
    x = 41,270.18

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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.