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Finding the Fourth Proportional to 71,678.14, 98,918.37 and 39,415.21

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Solution

The fourth proportional to 71,678.14, 98,918.37 and 39,415.21 is: 54,394.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,678.14 : 98,918.37 = 39,415.21 : x
  2. Step 2: Convert to fraction form
    71,678.14/98,918.37 = 39,415.21/x
  3. Step 3: Cross multiply
    71,678.14x = 98,918.37 × 39,415.21
  4. Step 4: Simplify right side
    71,678.14x = 3,898,888,326.41
  5. Step 5: Solve for x
    x = 3,898,888,326.41/71,678.14
  6. Step 6: Final answer
    x = 54,394.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.