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Finding the Fourth Proportional to 71,392.56, 107,098.26 and 26,407.80

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Solution

The fourth proportional to 71,392.56, 107,098.26 and 26,407.80 is: 39,615.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,392.56 : 107,098.26 = 26,407.80 : x
  2. Step 2: Convert to fraction form
    71,392.56/107,098.26 = 26,407.80/x
  3. Step 3: Cross multiply
    71,392.56x = 107,098.26 × 26,407.80
  4. Step 4: Simplify right side
    71,392.56x = 2,828,229,430.43
  5. Step 5: Solve for x
    x = 2,828,229,430.43/71,392.56
  6. Step 6: Final answer
    x = 39,615.18

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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.