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Finding the Fourth Proportional to 98,076.63, 147,136.81 and 35,747.13

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Solution

The fourth proportional to 98,076.63, 147,136.81 and 35,747.13 is: 53,628.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,076.63 : 147,136.81 = 35,747.13 : x
  2. Step 2: Convert to fraction form
    98,076.63/147,136.81 = 35,747.13/x
  3. Step 3: Cross multiply
    98,076.63x = 147,136.81 × 35,747.13
  4. Step 4: Simplify right side
    98,076.63x = 5,259,718,674.86
  5. Step 5: Solve for x
    x = 5,259,718,674.86/98,076.63
  6. Step 6: Final answer
    x = 53,628.66

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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.