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Finding the Fourth Proportional to 75,900.42, 113,848.20 and 34,347.42

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Solution

The fourth proportional to 75,900.42, 113,848.20 and 34,347.42 is: 51,520.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,900.42 : 113,848.20 = 34,347.42 : x
  2. Step 2: Convert to fraction form
    75,900.42/113,848.20 = 34,347.42/x
  3. Step 3: Cross multiply
    75,900.42x = 113,848.20 × 34,347.42
  4. Step 4: Simplify right side
    75,900.42x = 3,910,391,941.64
  5. Step 5: Solve for x
    x = 3,910,391,941.64/75,900.42
  6. Step 6: Final answer
    x = 51,520.03

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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.