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Finding the Fourth Proportional to 30,471.81, 42,053.25 and 17,044.32

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Solution

The fourth proportional to 30,471.81, 42,053.25 and 17,044.32 is: 23,522.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.81 : 42,053.25 = 17,044.32 : x
  2. Step 2: Convert to fraction form
    30,471.81/42,053.25 = 17,044.32/x
  3. Step 3: Cross multiply
    30,471.81x = 42,053.25 × 17,044.32
  4. Step 4: Simplify right side
    30,471.81x = 716,769,050.04
  5. Step 5: Solve for x
    x = 716,769,050.04/30,471.81
  6. Step 6: Final answer
    x = 23,522.37

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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.