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Finding the Fourth Proportional to 98,078.16, 146,986.04 and 35,689.68

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Solution

The fourth proportional to 98,078.16, 146,986.04 and 35,689.68 is: 53,486.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,078.16 : 146,986.04 = 35,689.68 : x
  2. Step 2: Convert to fraction form
    98,078.16/146,986.04 = 35,689.68/x
  3. Step 3: Cross multiply
    98,078.16x = 146,986.04 × 35,689.68
  4. Step 4: Simplify right side
    98,078.16x = 5,245,884,732.07
  5. Step 5: Solve for x
    x = 5,245,884,732.07/98,078.16
  6. Step 6: Final answer
    x = 53,486.78

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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.