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Finding the Fourth Proportional to 86,996.25, 130,473.86 and 49,061.84

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Solution

The fourth proportional to 86,996.25, 130,473.86 and 49,061.84 is: 73,581.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,996.25 : 130,473.86 = 49,061.84 : x
  2. Step 2: Convert to fraction form
    86,996.25/130,473.86 = 49,061.84/x
  3. Step 3: Cross multiply
    86,996.25x = 130,473.86 × 49,061.84
  4. Step 4: Simplify right side
    86,996.25x = 6,401,286,745.82
  5. Step 5: Solve for x
    x = 6,401,286,745.82/86,996.25
  6. Step 6: Final answer
    x = 73,581.18

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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.