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Finding the Fourth Proportional to 30,900.51, 42,642.21 and 17,471.34

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Solution

The fourth proportional to 30,900.51, 42,642.21 and 17,471.34 is: 24,110.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,900.51 : 42,642.21 = 17,471.34 : x
  2. Step 2: Convert to fraction form
    30,900.51/42,642.21 = 17,471.34/x
  3. Step 3: Cross multiply
    30,900.51x = 42,642.21 × 17,471.34
  4. Step 4: Simplify right side
    30,900.51x = 745,016,549.26
  5. Step 5: Solve for x
    x = 745,016,549.26/30,900.51
  6. Step 6: Final answer
    x = 24,110.17

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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.