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Finding the Fourth Proportional to 75,875.94, 104,708.81 and 41,884.45

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Solution

The fourth proportional to 75,875.94, 104,708.81 and 41,884.45 is: 57,800.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,875.94 : 104,708.81 = 41,884.45 : x
  2. Step 2: Convert to fraction form
    75,875.94/104,708.81 = 41,884.45/x
  3. Step 3: Cross multiply
    75,875.94x = 104,708.81 × 41,884.45
  4. Step 4: Simplify right side
    75,875.94x = 4,385,670,917.00
  5. Step 5: Solve for x
    x = 4,385,670,917.00/75,875.94
  6. Step 6: Final answer
    x = 57,800.55

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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.