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Finding the Fourth Proportional to 30,492.60, 45,691.67 and 21,150.78

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Solution

The fourth proportional to 30,492.60, 45,691.67 and 21,150.78 is: 31,693.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,492.60 : 45,691.67 = 21,150.78 : x
  2. Step 2: Convert to fraction form
    30,492.60/45,691.67 = 21,150.78/x
  3. Step 3: Cross multiply
    30,492.60x = 45,691.67 × 21,150.78
  4. Step 4: Simplify right side
    30,492.60x = 966,414,475.21
  5. Step 5: Solve for x
    x = 966,414,475.21/30,492.60
  6. Step 6: Final answer
    x = 31,693.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.