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Finding the Fourth Proportional to 65,144.30, 97,730.79 and 37,077.56

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Solution

The fourth proportional to 65,144.30, 97,730.79 and 37,077.56 is: 55,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,144.30 : 97,730.79 = 37,077.56 : x
  2. Step 2: Convert to fraction form
    65,144.30/97,730.79 = 37,077.56/x
  3. Step 3: Cross multiply
    65,144.30x = 97,730.79 × 37,077.56
  4. Step 4: Simplify right side
    65,144.30x = 3,623,618,968.87
  5. Step 5: Solve for x
    x = 3,623,618,968.87/65,144.30
  6. Step 6: Final answer
    x = 55,624.50

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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.