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Finding the Fourth Proportional to 70,885.88, 106,255.86 and 31,461.56

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Solution

The fourth proportional to 70,885.88, 106,255.86 and 31,461.56 is: 47,159.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,885.88 : 106,255.86 = 31,461.56 : x
  2. Step 2: Convert to fraction form
    70,885.88/106,255.86 = 31,461.56/x
  3. Step 3: Cross multiply
    70,885.88x = 106,255.86 × 31,461.56
  4. Step 4: Simplify right side
    70,885.88x = 3,342,975,114.74
  5. Step 5: Solve for x
    x = 3,342,975,114.74/70,885.88
  6. Step 6: Final answer
    x = 47,159.96

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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.