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Finding the Fourth Proportional to 65,935, 98,914.90 and 26,495.24

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Solution

The fourth proportional to 65,935, 98,914.90 and 26,495.24 is: 39,747.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,935 : 98,914.90 = 26,495.24 : x
  2. Step 2: Convert to fraction form
    65,935/98,914.90 = 26,495.24/x
  3. Step 3: Cross multiply
    65,935x = 98,914.90 × 26,495.24
  4. Step 4: Simplify right side
    65,935x = 2,620,774,015.08
  5. Step 5: Solve for x
    x = 2,620,774,015.08/65,935
  6. Step 6: Final answer
    x = 39,747.84

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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.