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Finding the Fourth Proportional to 86,896.59, 130,365.69 and 36,267.46

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Solution

The fourth proportional to 86,896.59, 130,365.69 and 36,267.46 is: 54,409.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,896.59 : 130,365.69 = 36,267.46 : x
  2. Step 2: Convert to fraction form
    86,896.59/130,365.69 = 36,267.46/x
  3. Step 3: Cross multiply
    86,896.59x = 130,365.69 × 36,267.46
  4. Step 4: Simplify right side
    86,896.59x = 4,728,032,266.11
  5. Step 5: Solve for x
    x = 4,728,032,266.11/86,896.59
  6. Step 6: Final answer
    x = 54,409.87

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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.