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Finding the Fourth Proportional to 30,234.38, 45,346.70 and 21,442.64

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Solution

The fourth proportional to 30,234.38, 45,346.70 and 21,442.64 is: 32,160.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,234.38 : 45,346.70 = 21,442.64 : x
  2. Step 2: Convert to fraction form
    30,234.38/45,346.70 = 21,442.64/x
  3. Step 3: Cross multiply
    30,234.38x = 45,346.70 × 21,442.64
  4. Step 4: Simplify right side
    30,234.38x = 972,352,790.16
  5. Step 5: Solve for x
    x = 972,352,790.16/30,234.38
  6. Step 6: Final answer
    x = 32,160.51

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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.