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Finding the Fourth Proportional to 30,461.46, 42,019.29 and 17,883.78

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Solution

The fourth proportional to 30,461.46, 42,019.29 and 17,883.78 is: 24,669.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,461.46 : 42,019.29 = 17,883.78 : x
  2. Step 2: Convert to fraction form
    30,461.46/42,019.29 = 17,883.78/x
  3. Step 3: Cross multiply
    30,461.46x = 42,019.29 × 17,883.78
  4. Step 4: Simplify right side
    30,461.46x = 751,463,738.12
  5. Step 5: Solve for x
    x = 751,463,738.12/30,461.46
  6. Step 6: Final answer
    x = 24,669.33

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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.