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Finding the Fourth Proportional to 71,654.64, 107,318.04 and 34,241.01

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Solution

The fourth proportional to 71,654.64, 107,318.04 and 34,241.01 is: 51,283.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,654.64 : 107,318.04 = 34,241.01 : x
  2. Step 2: Convert to fraction form
    71,654.64/107,318.04 = 34,241.01/x
  3. Step 3: Cross multiply
    71,654.64x = 107,318.04 × 34,241.01
  4. Step 4: Simplify right side
    71,654.64x = 3,674,678,080.82
  5. Step 5: Solve for x
    x = 3,674,678,080.82/71,654.64
  6. Step 6: Final answer
    x = 51,283.18

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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.