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Finding the Fourth Proportional to 75,883.41, 104,713.72 and 41,886.45

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Solution

The fourth proportional to 75,883.41, 104,713.72 and 41,886.45 is: 57,800.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,883.41 : 104,713.72 = 41,886.45 : x
  2. Step 2: Convert to fraction form
    75,883.41/104,713.72 = 41,886.45/x
  3. Step 3: Cross multiply
    75,883.41x = 104,713.72 × 41,886.45
  4. Step 4: Simplify right side
    75,883.41x = 4,386,085,892.38
  5. Step 5: Solve for x
    x = 4,386,085,892.38/75,883.41
  6. Step 6: Final answer
    x = 57,800.33

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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.