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Finding the Fourth Proportional to 32,475.56, 48,706.86 and 11,411.60

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Solution

The fourth proportional to 32,475.56, 48,706.86 and 11,411.60 is: 17,115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,475.56 : 48,706.86 = 11,411.60 : x
  2. Step 2: Convert to fraction form
    32,475.56/48,706.86 = 11,411.60/x
  3. Step 3: Cross multiply
    32,475.56x = 48,706.86 × 11,411.60
  4. Step 4: Simplify right side
    32,475.56x = 555,823,203.58
  5. Step 5: Solve for x
    x = 555,823,203.58/32,475.56
  6. Step 6: Final answer
    x = 17,115.12

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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.