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Finding the Fourth Proportional to 30,793.93, 42,495.60 and 16,646.77

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Solution

The fourth proportional to 30,793.93, 42,495.60 and 16,646.77 is: 22,972.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,793.93 : 42,495.60 = 16,646.77 : x
  2. Step 2: Convert to fraction form
    30,793.93/42,495.60 = 16,646.77/x
  3. Step 3: Cross multiply
    30,793.93x = 42,495.60 × 16,646.77
  4. Step 4: Simplify right side
    30,793.93x = 707,414,479.21
  5. Step 5: Solve for x
    x = 707,414,479.21/30,793.93
  6. Step 6: Final answer
    x = 22,972.53

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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.