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Finding the Fourth Proportional to 72,412.94, 99,924.38 and 40,575.68

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Solution

The fourth proportional to 72,412.94, 99,924.38 and 40,575.68 is: 55,991.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,412.94 : 99,924.38 = 40,575.68 : x
  2. Step 2: Convert to fraction form
    72,412.94/99,924.38 = 40,575.68/x
  3. Step 3: Cross multiply
    72,412.94x = 99,924.38 × 40,575.68
  4. Step 4: Simplify right side
    72,412.94x = 4,054,499,667.08
  5. Step 5: Solve for x
    x = 4,054,499,667.08/72,412.94
  6. Step 6: Final answer
    x = 55,991.37

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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.