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Finding the Fourth Proportional to 75,131.58, 103,681.62 and 46,837.38

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Solution

The fourth proportional to 75,131.58, 103,681.62 and 46,837.38 is: 64,635.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,131.58 : 103,681.62 = 46,837.38 : x
  2. Step 2: Convert to fraction form
    75,131.58/103,681.62 = 46,837.38/x
  3. Step 3: Cross multiply
    75,131.58x = 103,681.62 × 46,837.38
  4. Step 4: Simplify right side
    75,131.58x = 4,856,175,434.96
  5. Step 5: Solve for x
    x = 4,856,175,434.96/75,131.58
  6. Step 6: Final answer
    x = 64,635.61

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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.