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Finding the Fourth Proportional to 75,615.96, 113,467.86 and 41,885.40

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Solution

The fourth proportional to 75,615.96, 113,467.86 and 41,885.40 is: 62,852.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,615.96 : 113,467.86 = 41,885.40 : x
  2. Step 2: Convert to fraction form
    75,615.96/113,467.86 = 41,885.40/x
  3. Step 3: Cross multiply
    75,615.96x = 113,467.86 × 41,885.40
  4. Step 4: Simplify right side
    75,615.96x = 4,752,646,703.24
  5. Step 5: Solve for x
    x = 4,752,646,703.24/75,615.96
  6. Step 6: Final answer
    x = 62,852.43

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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.