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Finding the Fourth Proportional to 49,428, 68,210.64 and 27,072.48

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Solution

The fourth proportional to 49,428, 68,210.64 and 27,072.48 is: 37,360.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,428 : 68,210.64 = 27,072.48 : x
  2. Step 2: Convert to fraction form
    49,428/68,210.64 = 27,072.48/x
  3. Step 3: Cross multiply
    49,428x = 68,210.64 × 27,072.48
  4. Step 4: Simplify right side
    49,428x = 1,846,631,187.19
  5. Step 5: Solve for x
    x = 1,846,631,187.19/49,428
  6. Step 6: Final answer
    x = 37,360.02

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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.