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Finding the Fourth Proportional to 114,003.92, 170,962.08 and 47,475.44

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Solution

The fourth proportional to 114,003.92, 170,962.08 and 47,475.44 is: 71,194.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,003.92 : 170,962.08 = 47,475.44 : x
  2. Step 2: Convert to fraction form
    114,003.92/170,962.08 = 47,475.44/x
  3. Step 3: Cross multiply
    114,003.92x = 170,962.08 × 47,475.44
  4. Step 4: Simplify right side
    114,003.92x = 8,116,499,971.32
  5. Step 5: Solve for x
    x = 8,116,499,971.32/114,003.92
  6. Step 6: Final answer
    x = 71,194.92

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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.