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Finding the Fourth Proportional to 98,516.52, 135,952.78 and 53,804.52

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Solution

The fourth proportional to 98,516.52, 135,952.78 and 53,804.52 is: 74,250.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,516.52 : 135,952.78 = 53,804.52 : x
  2. Step 2: Convert to fraction form
    98,516.52/135,952.78 = 53,804.52/x
  3. Step 3: Cross multiply
    98,516.52x = 135,952.78 × 53,804.52
  4. Step 4: Simplify right side
    98,516.52x = 7,314,874,070.57
  5. Step 5: Solve for x
    x = 7,314,874,070.57/98,516.52
  6. Step 6: Final answer
    x = 74,250.23

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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.