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Finding the Fourth Proportional to 103,832.59, 155,639.54 and 53,859.64

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Solution

The fourth proportional to 103,832.59, 155,639.54 and 53,859.64 is: 80,732.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,832.59 : 155,639.54 = 53,859.64 : x
  2. Step 2: Convert to fraction form
    103,832.59/155,639.54 = 53,859.64/x
  3. Step 3: Cross multiply
    103,832.59x = 155,639.54 × 53,859.64
  4. Step 4: Simplify right side
    103,832.59x = 8,382,689,594.17
  5. Step 5: Solve for x
    x = 8,382,689,594.17/103,832.59
  6. Step 6: Final answer
    x = 80,732.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.