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Finding the Fourth Proportional to 32,415.25, 48,628.76 and 15,775.29

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Solution

The fourth proportional to 32,415.25, 48,628.76 and 15,775.29 is: 23,665.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,415.25 : 48,628.76 = 15,775.29 : x
  2. Step 2: Convert to fraction form
    32,415.25/48,628.76 = 15,775.29/x
  3. Step 3: Cross multiply
    32,415.25x = 48,628.76 × 15,775.29
  4. Step 4: Simplify right side
    32,415.25x = 767,132,791.34
  5. Step 5: Solve for x
    x = 767,132,791.34/32,415.25
  6. Step 6: Final answer
    x = 23,665.80

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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.