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Finding the Fourth Proportional to 98,542.98, 147,769.92 and 45,967.50

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Solution

The fourth proportional to 98,542.98, 147,769.92 and 45,967.50 is: 68,930.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,542.98 : 147,769.92 = 45,967.50 : x
  2. Step 2: Convert to fraction form
    98,542.98/147,769.92 = 45,967.50/x
  3. Step 3: Cross multiply
    98,542.98x = 147,769.92 × 45,967.50
  4. Step 4: Simplify right side
    98,542.98x = 6,792,613,797.60
  5. Step 5: Solve for x
    x = 6,792,613,797.60/98,542.98
  6. Step 6: Final answer
    x = 68,930.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.