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Finding the Fourth Proportional to 77,365.72, 106,785.30 and 45,544.60

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Solution

The fourth proportional to 77,365.72, 106,785.30 and 45,544.60 is: 62,863.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,365.72 : 106,785.30 = 45,544.60 : x
  2. Step 2: Convert to fraction form
    77,365.72/106,785.30 = 45,544.60/x
  3. Step 3: Cross multiply
    77,365.72x = 106,785.30 × 45,544.60
  4. Step 4: Simplify right side
    77,365.72x = 4,863,493,774.38
  5. Step 5: Solve for x
    x = 4,863,493,774.38/77,365.72
  6. Step 6: Final answer
    x = 62,863.68

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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.