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Finding the Fourth Proportional to 75,909.80, 113,851.90 and 23,305

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Solution

The fourth proportional to 75,909.80, 113,851.90 and 23,305 is: 34,953.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,909.80 : 113,851.90 = 23,305 : x
  2. Step 2: Convert to fraction form
    75,909.80/113,851.90 = 23,305/x
  3. Step 3: Cross multiply
    75,909.80x = 113,851.90 × 23,305
  4. Step 4: Simplify right side
    75,909.80x = 2,653,318,529.50
  5. Step 5: Solve for x
    x = 2,653,318,529.50/75,909.80
  6. Step 6: Final answer
    x = 34,953.57

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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.