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Finding the Fourth Proportional to 114,540.64, 171,810.96 and 35,662.84

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Solution

The fourth proportional to 114,540.64, 171,810.96 and 35,662.84 is: 53,494.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,540.64 : 171,810.96 = 35,662.84 : x
  2. Step 2: Convert to fraction form
    114,540.64/171,810.96 = 35,662.84/x
  3. Step 3: Cross multiply
    114,540.64x = 171,810.96 × 35,662.84
  4. Step 4: Simplify right side
    114,540.64x = 6,127,266,776.73
  5. Step 5: Solve for x
    x = 6,127,266,776.73/114,540.64
  6. Step 6: Final answer
    x = 53,494.26

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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.