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Finding the Fourth Proportional to 32,829, 45,304.04 and 17,925

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Solution

The fourth proportional to 32,829, 45,304.04 and 17,925 is: 24,736.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,829 : 45,304.04 = 17,925 : x
  2. Step 2: Convert to fraction form
    32,829/45,304.04 = 17,925/x
  3. Step 3: Cross multiply
    32,829x = 45,304.04 × 17,925
  4. Step 4: Simplify right side
    32,829x = 812,074,917
  5. Step 5: Solve for x
    x = 812,074,917/32,829
  6. Step 6: Final answer
    x = 24,736.51

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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.