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Finding the Fourth Proportional to 55,878.71, 83,818.05 and 16,435.82

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Solution

The fourth proportional to 55,878.71, 83,818.05 and 16,435.82 is: 24,653.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,878.71 : 83,818.05 = 16,435.82 : x
  2. Step 2: Convert to fraction form
    55,878.71/83,818.05 = 16,435.82/x
  3. Step 3: Cross multiply
    55,878.71x = 83,818.05 × 16,435.82
  4. Step 4: Simplify right side
    55,878.71x = 1,377,618,382.55
  5. Step 5: Solve for x
    x = 1,377,618,382.55/55,878.71
  6. Step 6: Final answer
    x = 24,653.73

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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.