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Finding the Fourth Proportional to 98,795.90, 148,167.43 and 27,714.30

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Solution

The fourth proportional to 98,795.90, 148,167.43 and 27,714.30 is: 41,564.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,795.90 : 148,167.43 = 27,714.30 : x
  2. Step 2: Convert to fraction form
    98,795.90/148,167.43 = 27,714.30/x
  3. Step 3: Cross multiply
    98,795.90x = 148,167.43 × 27,714.30
  4. Step 4: Simplify right side
    98,795.90x = 4,106,356,813.78
  5. Step 5: Solve for x
    x = 4,106,356,813.78/98,795.90
  6. Step 6: Final answer
    x = 41,564.04

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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.