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Finding the Fourth Proportional to 98,098.63, 147,149.33 and 27,977.94

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Solution

The fourth proportional to 98,098.63, 147,149.33 and 27,977.94 is: 41,967.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,098.63 : 147,149.33 = 27,977.94 : x
  2. Step 2: Convert to fraction form
    98,098.63/147,149.33 = 27,977.94/x
  3. Step 3: Cross multiply
    98,098.63x = 147,149.33 × 27,977.94
  4. Step 4: Simplify right side
    98,098.63x = 4,116,935,125.78
  5. Step 5: Solve for x
    x = 4,116,935,125.78/98,098.63
  6. Step 6: Final answer
    x = 41,967.31

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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.