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Finding the Fourth Proportional to 30,643.92, 42,287.45 and 17,032.82

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Solution

The fourth proportional to 30,643.92, 42,287.45 and 17,032.82 is: 23,504.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,643.92 : 42,287.45 = 17,032.82 : x
  2. Step 2: Convert to fraction form
    30,643.92/42,287.45 = 17,032.82/x
  3. Step 3: Cross multiply
    30,643.92x = 42,287.45 × 17,032.82
  4. Step 4: Simplify right side
    30,643.92x = 720,274,227.51
  5. Step 5: Solve for x
    x = 720,274,227.51/30,643.92
  6. Step 6: Final answer
    x = 23,504.64

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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.