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Finding the Fourth Proportional to 73,533.10, 101,475.68 and 41,702

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Solution

The fourth proportional to 73,533.10, 101,475.68 and 41,702 is: 57,548.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,533.10 : 101,475.68 = 41,702 : x
  2. Step 2: Convert to fraction form
    73,533.10/101,475.68 = 41,702/x
  3. Step 3: Cross multiply
    73,533.10x = 101,475.68 × 41,702
  4. Step 4: Simplify right side
    73,533.10x = 4,231,738,807.36
  5. Step 5: Solve for x
    x = 4,231,738,807.36/73,533.10
  6. Step 6: Final answer
    x = 57,548.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.