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Finding the Fourth Proportional to 98,461.50, 147,620.25 and 36,132.54

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Solution

The fourth proportional to 98,461.50, 147,620.25 and 36,132.54 is: 54,172.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,461.50 : 147,620.25 = 36,132.54 : x
  2. Step 2: Convert to fraction form
    98,461.50/147,620.25 = 36,132.54/x
  3. Step 3: Cross multiply
    98,461.50x = 147,620.25 × 36,132.54
  4. Step 4: Simplify right side
    98,461.50x = 5,333,894,587.94
  5. Step 5: Solve for x
    x = 5,333,894,587.94/98,461.50
  6. Step 6: Final answer
    x = 54,172.39

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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.