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Finding the Fourth Proportional to 75,325.31, 103,997.63 and 46,675.38

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Solution

The fourth proportional to 75,325.31, 103,997.63 and 46,675.38 is: 64,442.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,325.31 : 103,997.63 = 46,675.38 : x
  2. Step 2: Convert to fraction form
    75,325.31/103,997.63 = 46,675.38/x
  3. Step 3: Cross multiply
    75,325.31x = 103,997.63 × 46,675.38
  4. Step 4: Simplify right side
    75,325.31x = 4,854,128,145.98
  5. Step 5: Solve for x
    x = 4,854,128,145.98/75,325.31
  6. Step 6: Final answer
    x = 64,442.19

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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.