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Finding the Fourth Proportional to 113,996, 170,997.48 and 39,115.08

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Solution

The fourth proportional to 113,996, 170,997.48 and 39,115.08 is: 58,673.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,996 : 170,997.48 = 39,115.08 : x
  2. Step 2: Convert to fraction form
    113,996/170,997.48 = 39,115.08/x
  3. Step 3: Cross multiply
    113,996x = 170,997.48 × 39,115.08
  4. Step 4: Simplify right side
    113,996x = 6,688,580,110.00
  5. Step 5: Solve for x
    x = 6,688,580,110.00/113,996
  6. Step 6: Final answer
    x = 58,673.81

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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.