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Finding the Fourth Proportional to 103,182.96, 154,730.76 and 36,639.84

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Solution

The fourth proportional to 103,182.96, 154,730.76 and 36,639.84 is: 54,944.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,182.96 : 154,730.76 = 36,639.84 : x
  2. Step 2: Convert to fraction form
    103,182.96/154,730.76 = 36,639.84/x
  3. Step 3: Cross multiply
    103,182.96x = 154,730.76 × 36,639.84
  4. Step 4: Simplify right side
    103,182.96x = 5,669,310,289.48
  5. Step 5: Solve for x
    x = 5,669,310,289.48/103,182.96
  6. Step 6: Final answer
    x = 54,944.25

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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.