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Finding the Fourth Proportional to 73,776.24, 101,820.24 and 41,952.96

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Solution

The fourth proportional to 73,776.24, 101,820.24 and 41,952.96 is: 57,900.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,776.24 : 101,820.24 = 41,952.96 : x
  2. Step 2: Convert to fraction form
    73,776.24/101,820.24 = 41,952.96/x
  3. Step 3: Cross multiply
    73,776.24x = 101,820.24 × 41,952.96
  4. Step 4: Simplify right side
    73,776.24x = 4,271,660,455.91
  5. Step 5: Solve for x
    x = 4,271,660,455.91/73,776.24
  6. Step 6: Final answer
    x = 57,900.22

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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.