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Finding the Fourth Proportional to 35,382.38, 48,828.10 and 20,274.74

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Solution

The fourth proportional to 35,382.38, 48,828.10 and 20,274.74 is: 27,979.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,382.38 : 48,828.10 = 20,274.74 : x
  2. Step 2: Convert to fraction form
    35,382.38/48,828.10 = 20,274.74/x
  3. Step 3: Cross multiply
    35,382.38x = 48,828.10 × 20,274.74
  4. Step 4: Simplify right side
    35,382.38x = 989,977,032.19
  5. Step 5: Solve for x
    x = 989,977,032.19/35,382.38
  6. Step 6: Final answer
    x = 27,979.38

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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.