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Finding the Fourth Proportional to 64,905.80, 97,286.70 and 25,449.80

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Solution

The fourth proportional to 64,905.80, 97,286.70 and 25,449.80 is: 38,146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,905.80 : 97,286.70 = 25,449.80 : x
  2. Step 2: Convert to fraction form
    64,905.80/97,286.70 = 25,449.80/x
  3. Step 3: Cross multiply
    64,905.80x = 97,286.70 × 25,449.80
  4. Step 4: Simplify right side
    64,905.80x = 2,475,927,057.66
  5. Step 5: Solve for x
    x = 2,475,927,057.66/64,905.80
  6. Step 6: Final answer
    x = 38,146.47

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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.