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Finding the Fourth Proportional to 84,952.17, 127,426.19 and 34,997.67

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Solution

The fourth proportional to 84,952.17, 127,426.19 and 34,997.67 is: 52,495.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,952.17 : 127,426.19 = 34,997.67 : x
  2. Step 2: Convert to fraction form
    84,952.17/127,426.19 = 34,997.67/x
  3. Step 3: Cross multiply
    84,952.17x = 127,426.19 × 34,997.67
  4. Step 4: Simplify right side
    84,952.17x = 4,459,619,571.99
  5. Step 5: Solve for x
    x = 4,459,619,571.99/84,952.17
  6. Step 6: Final answer
    x = 52,495.65

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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.