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Finding the Fourth Proportional to 98,247.67, 135,574.50 and 55,798

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Solution

The fourth proportional to 98,247.67, 135,574.50 and 55,798 is: 76,997.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,247.67 : 135,574.50 = 55,798 : x
  2. Step 2: Convert to fraction form
    98,247.67/135,574.50 = 55,798/x
  3. Step 3: Cross multiply
    98,247.67x = 135,574.50 × 55,798
  4. Step 4: Simplify right side
    98,247.67x = 7,564,785,951
  5. Step 5: Solve for x
    x = 7,564,785,951/98,247.67
  6. Step 6: Final answer
    x = 76,997.10

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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.