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Finding the Fourth Proportional to 30,904.82, 42,651.29 and 17,478.46

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Solution

The fourth proportional to 30,904.82, 42,651.29 and 17,478.46 is: 24,121.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,904.82 : 42,651.29 = 17,478.46 : x
  2. Step 2: Convert to fraction form
    30,904.82/42,651.29 = 17,478.46/x
  3. Step 3: Cross multiply
    30,904.82x = 42,651.29 × 17,478.46
  4. Step 4: Simplify right side
    30,904.82x = 745,478,963.22
  5. Step 5: Solve for x
    x = 745,478,963.22/30,904.82
  6. Step 6: Final answer
    x = 24,121.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.