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Finding the Fourth Proportional to 30,278.39, 41,783.55 and 16,849.13

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Solution

The fourth proportional to 30,278.39, 41,783.55 and 16,849.13 is: 23,251.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,278.39 : 41,783.55 = 16,849.13 : x
  2. Step 2: Convert to fraction form
    30,278.39/41,783.55 = 16,849.13/x
  3. Step 3: Cross multiply
    30,278.39x = 41,783.55 × 16,849.13
  4. Step 4: Simplify right side
    30,278.39x = 704,016,465.81
  5. Step 5: Solve for x
    x = 704,016,465.81/30,278.39
  6. Step 6: Final answer
    x = 23,251.45

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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.