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Finding the Fourth Proportional to 73,032.93, 100,785.47 and 41,208.57

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Solution

The fourth proportional to 73,032.93, 100,785.47 and 41,208.57 is: 56,867.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,032.93 : 100,785.47 = 41,208.57 : x
  2. Step 2: Convert to fraction form
    73,032.93/100,785.47 = 41,208.57/x
  3. Step 3: Cross multiply
    73,032.93x = 100,785.47 × 41,208.57
  4. Step 4: Simplify right side
    73,032.93x = 4,153,224,889.44
  5. Step 5: Solve for x
    x = 4,153,224,889.44/73,032.93
  6. Step 6: Final answer
    x = 56,867.84

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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.