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Finding the Fourth Proportional to 96,230, 132,797.40 and 53,787.62

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Solution

The fourth proportional to 96,230, 132,797.40 and 53,787.62 is: 74,226.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,230 : 132,797.40 = 53,787.62 : x
  2. Step 2: Convert to fraction form
    96,230/132,797.40 = 53,787.62/x
  3. Step 3: Cross multiply
    96,230x = 132,797.40 × 53,787.62
  4. Step 4: Simplify right side
    96,230x = 7,142,856,088.19
  5. Step 5: Solve for x
    x = 7,142,856,088.19/96,230
  6. Step 6: Final answer
    x = 74,226.92

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Why These Related Problems?

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