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Finding the Fourth Proportional to 98,665.68, 147,982.02 and 35,472.92

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Solution

The fourth proportional to 98,665.68, 147,982.02 and 35,472.92 is: 53,203.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,665.68 : 147,982.02 = 35,472.92 : x
  2. Step 2: Convert to fraction form
    98,665.68/147,982.02 = 35,472.92/x
  3. Step 3: Cross multiply
    98,665.68x = 147,982.02 × 35,472.92
  4. Step 4: Simplify right side
    98,665.68x = 5,249,354,356.90
  5. Step 5: Solve for x
    x = 5,249,354,356.90/98,665.68
  6. Step 6: Final answer
    x = 53,203.45

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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.