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Finding the Fourth Proportional to 75,098.34, 103,648.41 and 43,285.73

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Solution

The fourth proportional to 75,098.34, 103,648.41 and 43,285.73 is: 59,741.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,098.34 : 103,648.41 = 43,285.73 : x
  2. Step 2: Convert to fraction form
    75,098.34/103,648.41 = 43,285.73/x
  3. Step 3: Cross multiply
    75,098.34x = 103,648.41 × 43,285.73
  4. Step 4: Simplify right side
    75,098.34x = 4,486,496,571.95
  5. Step 5: Solve for x
    x = 4,486,496,571.95/75,098.34
  6. Step 6: Final answer
    x = 59,741.62

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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.