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Finding the Fourth Proportional to 43,413, 59,910.30 and 23,541

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Solution

The fourth proportional to 43,413, 59,910.30 and 23,541 is: 32,486.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,413 : 59,910.30 = 23,541 : x
  2. Step 2: Convert to fraction form
    43,413/59,910.30 = 23,541/x
  3. Step 3: Cross multiply
    43,413x = 59,910.30 × 23,541
  4. Step 4: Simplify right side
    43,413x = 1,410,348,372.30
  5. Step 5: Solve for x
    x = 1,410,348,372.30/43,413
  6. Step 6: Final answer
    x = 32,486.78

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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.