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Finding the Fourth Proportional to 32,566.46, 48,856.16 and 13,846.34

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Solution

The fourth proportional to 32,566.46, 48,856.16 and 13,846.34 is: 20,772.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,566.46 : 48,856.16 = 13,846.34 : x
  2. Step 2: Convert to fraction form
    32,566.46/48,856.16 = 13,846.34/x
  3. Step 3: Cross multiply
    32,566.46x = 48,856.16 × 13,846.34
  4. Step 4: Simplify right side
    32,566.46x = 676,479,159.21
  5. Step 5: Solve for x
    x = 676,479,159.21/32,566.46
  6. Step 6: Final answer
    x = 20,772.27

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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.