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Finding the Fourth Proportional to 71,858.71, 107,783.04 and 26,871.51

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Solution

The fourth proportional to 71,858.71, 107,783.04 and 26,871.51 is: 40,305.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,858.71 : 107,783.04 = 26,871.51 : x
  2. Step 2: Convert to fraction form
    71,858.71/107,783.04 = 26,871.51/x
  3. Step 3: Cross multiply
    71,858.71x = 107,783.04 × 26,871.51
  4. Step 4: Simplify right side
    71,858.71x = 2,896,292,498.28
  5. Step 5: Solve for x
    x = 2,896,292,498.28/71,858.71
  6. Step 6: Final answer
    x = 40,305.38

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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.