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Finding the Fourth Proportional to 99,886.82, 149,802.13 and 27,823.34

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Solution

The fourth proportional to 99,886.82, 149,802.13 and 27,823.34 is: 41,727.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,886.82 : 149,802.13 = 27,823.34 : x
  2. Step 2: Convert to fraction form
    99,886.82/149,802.13 = 27,823.34/x
  3. Step 3: Cross multiply
    99,886.82x = 149,802.13 × 27,823.34
  4. Step 4: Simplify right side
    99,886.82x = 4,167,995,900.66
  5. Step 5: Solve for x
    x = 4,167,995,900.66/99,886.82
  6. Step 6: Final answer
    x = 41,727.19

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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.