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Finding the Fourth Proportional to 116,310.36, 174,428.82 and 37,407

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Solution

The fourth proportional to 116,310.36, 174,428.82 and 37,407 is: 56,098.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,310.36 : 174,428.82 = 37,407 : x
  2. Step 2: Convert to fraction form
    116,310.36/174,428.82 = 37,407/x
  3. Step 3: Cross multiply
    116,310.36x = 174,428.82 × 37,407
  4. Step 4: Simplify right side
    116,310.36x = 6,524,858,869.74
  5. Step 5: Solve for x
    x = 6,524,858,869.74/116,310.36
  6. Step 6: Final answer
    x = 56,098.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.