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Finding the Fourth Proportional to 32,655, 45,064.26 and 17,751

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Solution

The fourth proportional to 32,655, 45,064.26 and 17,751 is: 24,496.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,655 : 45,064.26 = 17,751 : x
  2. Step 2: Convert to fraction form
    32,655/45,064.26 = 17,751/x
  3. Step 3: Cross multiply
    32,655x = 45,064.26 × 17,751
  4. Step 4: Simplify right side
    32,655x = 799,935,679.26
  5. Step 5: Solve for x
    x = 799,935,679.26/32,655
  6. Step 6: Final answer
    x = 24,496.58

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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.