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Finding the Fourth Proportional to 73,857.72, 101,923.02 and 40,323

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Solution

The fourth proportional to 73,857.72, 101,923.02 and 40,323 is: 55,645.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,857.72 : 101,923.02 = 40,323 : x
  2. Step 2: Convert to fraction form
    73,857.72/101,923.02 = 40,323/x
  3. Step 3: Cross multiply
    73,857.72x = 101,923.02 × 40,323
  4. Step 4: Simplify right side
    73,857.72x = 4,109,841,935.46
  5. Step 5: Solve for x
    x = 4,109,841,935.46/73,857.72
  6. Step 6: Final answer
    x = 55,645.39

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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.