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Finding the Fourth Proportional to 75,626, 113,412.50 and 22,303.81

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Solution

The fourth proportional to 75,626, 113,412.50 and 22,303.81 is: 33,447.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,626 : 113,412.50 = 22,303.81 : x
  2. Step 2: Convert to fraction form
    75,626/113,412.50 = 22,303.81/x
  3. Step 3: Cross multiply
    75,626x = 113,412.50 × 22,303.81
  4. Step 4: Simplify right side
    75,626x = 2,529,530,851.63
  5. Step 5: Solve for x
    x = 2,529,530,851.63/75,626
  6. Step 6: Final answer
    x = 33,447.90

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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.