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Finding the Fourth Proportional to 34,415.68, 47,500.16 and 22,489.24

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Solution

The fourth proportional to 34,415.68, 47,500.16 and 22,489.24 is: 31,039.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,415.68 : 47,500.16 = 22,489.24 : x
  2. Step 2: Convert to fraction form
    34,415.68/47,500.16 = 22,489.24/x
  3. Step 3: Cross multiply
    34,415.68x = 47,500.16 × 22,489.24
  4. Step 4: Simplify right side
    34,415.68x = 1,068,242,498.28
  5. Step 5: Solve for x
    x = 1,068,242,498.28/34,415.68
  6. Step 6: Final answer
    x = 31,039.41

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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.