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Finding the Fourth Proportional to 82,709.76, 124,046.24 and 23,544.32

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Solution

The fourth proportional to 82,709.76, 124,046.24 and 23,544.32 is: 35,311.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,709.76 : 124,046.24 = 23,544.32 : x
  2. Step 2: Convert to fraction form
    82,709.76/124,046.24 = 23,544.32/x
  3. Step 3: Cross multiply
    82,709.76x = 124,046.24 × 23,544.32
  4. Step 4: Simplify right side
    82,709.76x = 2,920,584,369.36
  5. Step 5: Solve for x
    x = 2,920,584,369.36/82,709.76
  6. Step 6: Final answer
    x = 35,311.24

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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.