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Finding the Fourth Proportional to 85,687.04, 118,231.62 and 55,468.16

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Solution

The fourth proportional to 85,687.04, 118,231.62 and 55,468.16 is: 76,535.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,687.04 : 118,231.62 = 55,468.16 : x
  2. Step 2: Convert to fraction form
    85,687.04/118,231.62 = 55,468.16/x
  3. Step 3: Cross multiply
    85,687.04x = 118,231.62 × 55,468.16
  4. Step 4: Simplify right side
    85,687.04x = 6,558,090,415.22
  5. Step 5: Solve for x
    x = 6,558,090,415.22/85,687.04
  6. Step 6: Final answer
    x = 76,535.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.