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Finding the Fourth Proportional to 32,729, 45,166.50 and 17,825

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Solution

The fourth proportional to 32,729, 45,166.50 and 17,825 is: 24,598.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,729 : 45,166.50 = 17,825 : x
  2. Step 2: Convert to fraction form
    32,729/45,166.50 = 17,825/x
  3. Step 3: Cross multiply
    32,729x = 45,166.50 × 17,825
  4. Step 4: Simplify right side
    32,729x = 805,092,862.50
  5. Step 5: Solve for x
    x = 805,092,862.50/32,729
  6. Step 6: Final answer
    x = 24,598.76

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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.