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Finding the Fourth Proportional to 71,408.68, 107,038.70 and 23,988.58

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Solution

The fourth proportional to 71,408.68, 107,038.70 and 23,988.58 is: 35,957.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,408.68 : 107,038.70 = 23,988.58 : x
  2. Step 2: Convert to fraction form
    71,408.68/107,038.70 = 23,988.58/x
  3. Step 3: Cross multiply
    71,408.68x = 107,038.70 × 23,988.58
  4. Step 4: Simplify right side
    71,408.68x = 2,567,706,418.05
  5. Step 5: Solve for x
    x = 2,567,706,418.05/71,408.68
  6. Step 6: Final answer
    x = 35,957.90

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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.