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Finding the Fourth Proportional to 32,629, 45,028.02 and 17,725

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Solution

The fourth proportional to 32,629, 45,028.02 and 17,725 is: 24,460.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,629 : 45,028.02 = 17,725 : x
  2. Step 2: Convert to fraction form
    32,629/45,028.02 = 17,725/x
  3. Step 3: Cross multiply
    32,629x = 45,028.02 × 17,725
  4. Step 4: Simplify right side
    32,629x = 798,121,654.50
  5. Step 5: Solve for x
    x = 798,121,654.50/32,629
  6. Step 6: Final answer
    x = 24,460.50

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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.