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Finding the Fourth Proportional to 75,134, 103,684.92 and 41,602.16

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Solution

The fourth proportional to 75,134, 103,684.92 and 41,602.16 is: 57,410.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,134 : 103,684.92 = 41,602.16 : x
  2. Step 2: Convert to fraction form
    75,134/103,684.92 = 41,602.16/x
  3. Step 3: Cross multiply
    75,134x = 103,684.92 × 41,602.16
  4. Step 4: Simplify right side
    75,134x = 4,313,516,631.43
  5. Step 5: Solve for x
    x = 4,313,516,631.43/75,134
  6. Step 6: Final answer
    x = 57,410.98

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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.