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Finding the Fourth Proportional to 59,328, 81,872.64 and 32,832

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Solution

The fourth proportional to 59,328, 81,872.64 and 32,832 is: 45,308.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,328 : 81,872.64 = 32,832 : x
  2. Step 2: Convert to fraction form
    59,328/81,872.64 = 32,832/x
  3. Step 3: Cross multiply
    59,328x = 81,872.64 × 32,832
  4. Step 4: Simplify right side
    59,328x = 2,688,042,516.48
  5. Step 5: Solve for x
    x = 2,688,042,516.48/59,328
  6. Step 6: Final answer
    x = 45,308.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.