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Finding the Fourth Proportional to 77,410.86, 106,835.52 and 43,422.66

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Solution

The fourth proportional to 77,410.86, 106,835.52 and 43,422.66 is: 59,928.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,410.86 : 106,835.52 = 43,422.66 : x
  2. Step 2: Convert to fraction form
    77,410.86/106,835.52 = 43,422.66/x
  3. Step 3: Cross multiply
    77,410.86x = 106,835.52 × 43,422.66
  4. Step 4: Simplify right side
    77,410.86x = 4,639,082,460.88
  5. Step 5: Solve for x
    x = 4,639,082,460.88/77,410.86
  6. Step 6: Final answer
    x = 59,928.06

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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.