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Finding the Fourth Proportional to 32,705.25, 49,057.88 and 10,518.14

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Solution

The fourth proportional to 32,705.25, 49,057.88 and 10,518.14 is: 15,777.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,705.25 : 49,057.88 = 10,518.14 : x
  2. Step 2: Convert to fraction form
    32,705.25/49,057.88 = 10,518.14/x
  3. Step 3: Cross multiply
    32,705.25x = 49,057.88 × 10,518.14
  4. Step 4: Simplify right side
    32,705.25x = 515,997,649.94
  5. Step 5: Solve for x
    x = 515,997,649.94/32,705.25
  6. Step 6: Final answer
    x = 15,777.21

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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.