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Finding the Fourth Proportional to 98,288, 135,638.52 and 53,576

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Solution

The fourth proportional to 98,288, 135,638.52 and 53,576 is: 73,935.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,288 : 135,638.52 = 53,576 : x
  2. Step 2: Convert to fraction form
    98,288/135,638.52 = 53,576/x
  3. Step 3: Cross multiply
    98,288x = 135,638.52 × 53,576
  4. Step 4: Simplify right side
    98,288x = 7,266,969,347.52
  5. Step 5: Solve for x
    x = 7,266,969,347.52/98,288
  6. Step 6: Final answer
    x = 73,935.47

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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.