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Finding the Fourth Proportional to 29,657.40, 44,432.10 and 23,458.20

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Solution

The fourth proportional to 29,657.40, 44,432.10 and 23,458.20 is: 35,144.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,657.40 : 44,432.10 = 23,458.20 : x
  2. Step 2: Convert to fraction form
    29,657.40/44,432.10 = 23,458.20/x
  3. Step 3: Cross multiply
    29,657.40x = 44,432.10 × 23,458.20
  4. Step 4: Simplify right side
    29,657.40x = 1,042,297,088.22
  5. Step 5: Solve for x
    x = 1,042,297,088.22/29,657.40
  6. Step 6: Final answer
    x = 35,144.59

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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.