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Finding the Fourth Proportional to 30,830.93, 42,546.78 and 16,683.77

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Solution

The fourth proportional to 30,830.93, 42,546.78 and 16,683.77 is: 23,023.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,830.93 : 42,546.78 = 16,683.77 : x
  2. Step 2: Convert to fraction form
    30,830.93/42,546.78 = 16,683.77/x
  3. Step 3: Cross multiply
    30,830.93x = 42,546.78 × 16,683.77
  4. Step 4: Simplify right side
    30,830.93x = 709,840,479.03
  5. Step 5: Solve for x
    x = 709,840,479.03/30,830.93
  6. Step 6: Final answer
    x = 23,023.65

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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.