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Finding the Fourth Proportional to 98,044.88, 147,091.85 and 27,924.19

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Solution

The fourth proportional to 98,044.88, 147,091.85 and 27,924.19 is: 41,893.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,044.88 : 147,091.85 = 27,924.19 : x
  2. Step 2: Convert to fraction form
    98,044.88/147,091.85 = 27,924.19/x
  3. Step 3: Cross multiply
    98,044.88x = 147,091.85 × 27,924.19
  4. Step 4: Simplify right side
    98,044.88x = 4,107,421,191.61
  5. Step 5: Solve for x
    x = 4,107,421,191.61/98,044.88
  6. Step 6: Final answer
    x = 41,893.28

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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.