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Finding the Fourth Proportional to 43,501, 60,032.10 and 23,629

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Solution

The fourth proportional to 43,501, 60,032.10 and 23,629 is: 32,608.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,501 : 60,032.10 = 23,629 : x
  2. Step 2: Convert to fraction form
    43,501/60,032.10 = 23,629/x
  3. Step 3: Cross multiply
    43,501x = 60,032.10 × 23,629
  4. Step 4: Simplify right side
    43,501x = 1,418,498,490.90
  5. Step 5: Solve for x
    x = 1,418,498,490.90/43,501
  6. Step 6: Final answer
    x = 32,608.41

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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.