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Finding the Fourth Proportional to 76,129.92, 114,184.64 and 23,575.68

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Solution

The fourth proportional to 76,129.92, 114,184.64 and 23,575.68 is: 35,360.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,129.92 : 114,184.64 = 23,575.68 : x
  2. Step 2: Convert to fraction form
    76,129.92/114,184.64 = 23,575.68/x
  3. Step 3: Cross multiply
    76,129.92x = 114,184.64 × 23,575.68
  4. Step 4: Simplify right side
    76,129.92x = 2,691,980,533.56
  5. Step 5: Solve for x
    x = 2,691,980,533.56/76,129.92
  6. Step 6: Final answer
    x = 35,360.35

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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.