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Finding the Fourth Proportional to 75,095.82, 103,627.80 and 41,097.60

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Solution

The fourth proportional to 75,095.82, 103,627.80 and 41,097.60 is: 56,712.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,095.82 : 103,627.80 = 41,097.60 : x
  2. Step 2: Convert to fraction form
    75,095.82/103,627.80 = 41,097.60/x
  3. Step 3: Cross multiply
    75,095.82x = 103,627.80 × 41,097.60
  4. Step 4: Simplify right side
    75,095.82x = 4,258,853,873.28
  5. Step 5: Solve for x
    x = 4,258,853,873.28/75,095.82
  6. Step 6: Final answer
    x = 56,712.26

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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.