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Finding the Fourth Proportional to 30,838.94, 42,557.75 and 17,410.22

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Solution

The fourth proportional to 30,838.94, 42,557.75 and 17,410.22 is: 24,026.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,838.94 : 42,557.75 = 17,410.22 : x
  2. Step 2: Convert to fraction form
    30,838.94/42,557.75 = 17,410.22/x
  3. Step 3: Cross multiply
    30,838.94x = 42,557.75 × 17,410.22
  4. Step 4: Simplify right side
    30,838.94x = 740,940,052.56
  5. Step 5: Solve for x
    x = 740,940,052.56/30,838.94
  6. Step 6: Final answer
    x = 24,026.12

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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.