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Finding the Fourth Proportional to 71,464.64, 107,175.01 and 49,419.68

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Solution

The fourth proportional to 71,464.64, 107,175.01 and 49,419.68 is: 74,114.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,464.64 : 107,175.01 = 49,419.68 : x
  2. Step 2: Convert to fraction form
    71,464.64/107,175.01 = 49,419.68/x
  3. Step 3: Cross multiply
    71,464.64x = 107,175.01 × 49,419.68
  4. Step 4: Simplify right side
    71,464.64x = 5,296,554,038.77
  5. Step 5: Solve for x
    x = 5,296,554,038.77/71,464.64
  6. Step 6: Final answer
    x = 74,114.34

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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.