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Finding the Fourth Proportional to 70,885.59, 97,824.32 and 40,676.43

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Solution

The fourth proportional to 70,885.59, 97,824.32 and 40,676.43 is: 56,134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,885.59 : 97,824.32 = 40,676.43 : x
  2. Step 2: Convert to fraction form
    70,885.59/97,824.32 = 40,676.43/x
  3. Step 3: Cross multiply
    70,885.59x = 97,824.32 × 40,676.43
  4. Step 4: Simplify right side
    70,885.59x = 3,979,144,649.58
  5. Step 5: Solve for x
    x = 3,979,144,649.58/70,885.59
  6. Step 6: Final answer
    x = 56,134.75

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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.