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Finding the Fourth Proportional to 30,566.96, 42,144.32 and 24,180.96

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Solution

The fourth proportional to 30,566.96, 42,144.32 and 24,180.96 is: 33,339.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,566.96 : 42,144.32 = 24,180.96 : x
  2. Step 2: Convert to fraction form
    30,566.96/42,144.32 = 24,180.96/x
  3. Step 3: Cross multiply
    30,566.96x = 42,144.32 × 24,180.96
  4. Step 4: Simplify right side
    30,566.96x = 1,019,090,116.15
  5. Step 5: Solve for x
    x = 1,019,090,116.15/30,566.96
  6. Step 6: Final answer
    x = 33,339.60

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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.