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Finding the Fourth Proportional to 64,741.92, 97,008.48 and 50,952.48

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Solution

The fourth proportional to 64,741.92, 97,008.48 and 50,952.48 is: 76,346.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,741.92 : 97,008.48 = 50,952.48 : x
  2. Step 2: Convert to fraction form
    64,741.92/97,008.48 = 50,952.48/x
  3. Step 3: Cross multiply
    64,741.92x = 97,008.48 × 50,952.48
  4. Step 4: Simplify right side
    64,741.92x = 4,942,822,637.03
  5. Step 5: Solve for x
    x = 4,942,822,637.03/64,741.92
  6. Step 6: Final answer
    x = 76,346.56

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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.