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Finding the Fourth Proportional to 32,407.13, 48,610.71 and 10,222.25

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Solution

The fourth proportional to 32,407.13, 48,610.71 and 10,222.25 is: 15,333.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,407.13 : 48,610.71 = 10,222.25 : x
  2. Step 2: Convert to fraction form
    32,407.13/48,610.71 = 10,222.25/x
  3. Step 3: Cross multiply
    32,407.13x = 48,610.71 × 10,222.25
  4. Step 4: Simplify right side
    32,407.13x = 496,910,587.24
  5. Step 5: Solve for x
    x = 496,910,587.24/32,407.13
  6. Step 6: Final answer
    x = 15,333.37

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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.