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Finding the Fourth Proportional to 30,403.40, 41,944.77 and 17,654.40

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Solution

The fourth proportional to 30,403.40, 41,944.77 and 17,654.40 is: 24,356.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,403.40 : 41,944.77 = 17,654.40 : x
  2. Step 2: Convert to fraction form
    30,403.40/41,944.77 = 17,654.40/x
  3. Step 3: Cross multiply
    30,403.40x = 41,944.77 × 17,654.40
  4. Step 4: Simplify right side
    30,403.40x = 740,509,747.49
  5. Step 5: Solve for x
    x = 740,509,747.49/30,403.40
  6. Step 6: Final answer
    x = 24,356.15

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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.