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Finding the Fourth Proportional to 78,447.96, 108,273.93 and 46,610.73

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Solution

The fourth proportional to 78,447.96, 108,273.93 and 46,610.73 is: 64,332.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,447.96 : 108,273.93 = 46,610.73 : x
  2. Step 2: Convert to fraction form
    78,447.96/108,273.93 = 46,610.73/x
  3. Step 3: Cross multiply
    78,447.96x = 108,273.93 × 46,610.73
  4. Step 4: Simplify right side
    78,447.96x = 5,046,726,917.27
  5. Step 5: Solve for x
    x = 5,046,726,917.27/78,447.96
  6. Step 6: Final answer
    x = 64,332.16

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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.