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Finding the Fourth Proportional to 71,417.82, 107,006.14 and 43,252.91

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Solution

The fourth proportional to 71,417.82, 107,006.14 and 43,252.91 is: 64,806.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,417.82 : 107,006.14 = 43,252.91 : x
  2. Step 2: Convert to fraction form
    71,417.82/107,006.14 = 43,252.91/x
  3. Step 3: Cross multiply
    71,417.82x = 107,006.14 × 43,252.91
  4. Step 4: Simplify right side
    71,417.82x = 4,628,326,942.87
  5. Step 5: Solve for x
    x = 4,628,326,942.87/71,417.82
  6. Step 6: Final answer
    x = 64,806.33

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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.