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Finding the Fourth Proportional to 30,793.60, 42,495.08 and 16,646.46

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Solution

The fourth proportional to 30,793.60, 42,495.08 and 16,646.46 is: 22,972.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,793.60 : 42,495.08 = 16,646.46 : x
  2. Step 2: Convert to fraction form
    30,793.60/42,495.08 = 16,646.46/x
  3. Step 3: Cross multiply
    30,793.60x = 42,495.08 × 16,646.46
  4. Step 4: Simplify right side
    30,793.60x = 707,392,649.42
  5. Step 5: Solve for x
    x = 707,392,649.42/30,793.60
  6. Step 6: Final answer
    x = 22,972.07

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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.