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Finding the Fourth Proportional to 48,505.16, 66,938.10 and 28,377.44

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Solution

The fourth proportional to 48,505.16, 66,938.10 and 28,377.44 is: 39,161.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,505.16 : 66,938.10 = 28,377.44 : x
  2. Step 2: Convert to fraction form
    48,505.16/66,938.10 = 28,377.44/x
  3. Step 3: Cross multiply
    48,505.16x = 66,938.10 × 28,377.44
  4. Step 4: Simplify right side
    48,505.16x = 1,899,531,916.46
  5. Step 5: Solve for x
    x = 1,899,531,916.46/48,505.16
  6. Step 6: Final answer
    x = 39,161.44

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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.