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Finding the Fourth Proportional to 65,780.16, 98,645.75 and 23,648.75

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Solution

The fourth proportional to 65,780.16, 98,645.75 and 23,648.75 is: 35,464.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,780.16 : 98,645.75 = 23,648.75 : x
  2. Step 2: Convert to fraction form
    65,780.16/98,645.75 = 23,648.75/x
  3. Step 3: Cross multiply
    65,780.16x = 98,645.75 × 23,648.75
  4. Step 4: Simplify right side
    65,780.16x = 2,332,848,068.84
  5. Step 5: Solve for x
    x = 2,332,848,068.84/65,780.16
  6. Step 6: Final answer
    x = 35,464.31

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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.