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Finding the Fourth Proportional to 30,442.38, 45,672.80 and 21,574.86

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Solution

The fourth proportional to 30,442.38, 45,672.80 and 21,574.86 is: 32,368.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,442.38 : 45,672.80 = 21,574.86 : x
  2. Step 2: Convert to fraction form
    30,442.38/45,672.80 = 21,574.86/x
  3. Step 3: Cross multiply
    30,442.38x = 45,672.80 × 21,574.86
  4. Step 4: Simplify right side
    30,442.38x = 985,384,265.81
  5. Step 5: Solve for x
    x = 985,384,265.81/30,442.38
  6. Step 6: Final answer
    x = 32,368.83

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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.