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Finding the Fourth Proportional to 32,017.86, 48,026.82 and 8,644.30

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Solution

The fourth proportional to 32,017.86, 48,026.82 and 8,644.30 is: 12,966.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,017.86 : 48,026.82 = 8,644.30 : x
  2. Step 2: Convert to fraction form
    32,017.86/48,026.82 = 8,644.30/x
  3. Step 3: Cross multiply
    32,017.86x = 48,026.82 × 8,644.30
  4. Step 4: Simplify right side
    32,017.86x = 415,158,240.13
  5. Step 5: Solve for x
    x = 415,158,240.13/32,017.86
  6. Step 6: Final answer
    x = 12,966.46

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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.