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Finding the Fourth Proportional to 98,290.50, 135,640.98 and 53,578.50

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Solution

The fourth proportional to 98,290.50, 135,640.98 and 53,578.50 is: 73,938.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,290.50 : 135,640.98 = 53,578.50 : x
  2. Step 2: Convert to fraction form
    98,290.50/135,640.98 = 53,578.50/x
  3. Step 3: Cross multiply
    98,290.50x = 135,640.98 × 53,578.50
  4. Step 4: Simplify right side
    98,290.50x = 7,267,440,246.93
  5. Step 5: Solve for x
    x = 7,267,440,246.93/98,290.50
  6. Step 6: Final answer
    x = 73,938.38

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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.