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Finding the Fourth Proportional to 32,266.32, 48,415.92 and 14,733.84

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Solution

The fourth proportional to 32,266.32, 48,415.92 and 14,733.84 is: 22,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,266.32 : 48,415.92 = 14,733.84 : x
  2. Step 2: Convert to fraction form
    32,266.32/48,415.92 = 14,733.84/x
  3. Step 3: Cross multiply
    32,266.32x = 48,415.92 × 14,733.84
  4. Step 4: Simplify right side
    32,266.32x = 713,352,418.73
  5. Step 5: Solve for x
    x = 713,352,418.73/32,266.32
  6. Step 6: Final answer
    x = 22,108.27

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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.