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Finding the Fourth Proportional to 43,365, 59,843.70 and 23,493

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Solution

The fourth proportional to 43,365, 59,843.70 and 23,493 is: 32,420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,365 : 59,843.70 = 23,493 : x
  2. Step 2: Convert to fraction form
    43,365/59,843.70 = 23,493/x
  3. Step 3: Cross multiply
    43,365x = 59,843.70 × 23,493
  4. Step 4: Simplify right side
    43,365x = 1,405,908,044.10
  5. Step 5: Solve for x
    x = 1,405,908,044.10/43,365
  6. Step 6: Final answer
    x = 32,420.34

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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.