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Finding the Fourth Proportional to 98,204.96, 147,324.72 and 35,962.40

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Solution

The fourth proportional to 98,204.96, 147,324.72 and 35,962.40 is: 53,949.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,204.96 : 147,324.72 = 35,962.40 : x
  2. Step 2: Convert to fraction form
    98,204.96/147,324.72 = 35,962.40/x
  3. Step 3: Cross multiply
    98,204.96x = 147,324.72 × 35,962.40
  4. Step 4: Simplify right side
    98,204.96x = 5,298,150,510.53
  5. Step 5: Solve for x
    x = 5,298,150,510.53/98,204.96
  6. Step 6: Final answer
    x = 53,949.93

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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.