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Finding the Fourth Proportional to 64,843.98, 97,232.18 and 30,614.01

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Solution

The fourth proportional to 64,843.98, 97,232.18 and 30,614.01 is: 45,905.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,843.98 : 97,232.18 = 30,614.01 : x
  2. Step 2: Convert to fraction form
    64,843.98/97,232.18 = 30,614.01/x
  3. Step 3: Cross multiply
    64,843.98x = 97,232.18 × 30,614.01
  4. Step 4: Simplify right side
    64,843.98x = 2,976,666,777.77
  5. Step 5: Solve for x
    x = 2,976,666,777.77/64,843.98
  6. Step 6: Final answer
    x = 45,905.06

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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.