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Finding the Fourth Proportional to 32,655, 45,063.90 and 17,751

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Solution

The fourth proportional to 32,655, 45,063.90 and 17,751 is: 24,496.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,655 : 45,063.90 = 17,751 : x
  2. Step 2: Convert to fraction form
    32,655/45,063.90 = 17,751/x
  3. Step 3: Cross multiply
    32,655x = 45,063.90 × 17,751
  4. Step 4: Simplify right side
    32,655x = 799,929,288.90
  5. Step 5: Solve for x
    x = 799,929,288.90/32,655
  6. Step 6: Final answer
    x = 24,496.38

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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.