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Finding the Fourth Proportional to 45,903.76, 68,834.86 and 16,322.38

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Solution

The fourth proportional to 45,903.76, 68,834.86 and 16,322.38 is: 24,476.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,903.76 : 68,834.86 = 16,322.38 : x
  2. Step 2: Convert to fraction form
    45,903.76/68,834.86 = 16,322.38/x
  3. Step 3: Cross multiply
    45,903.76x = 68,834.86 × 16,322.38
  4. Step 4: Simplify right side
    45,903.76x = 1,123,548,742.17
  5. Step 5: Solve for x
    x = 1,123,548,742.17/45,903.76
  6. Step 6: Final answer
    x = 24,476.18

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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.