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Finding the Fourth Proportional to 116,412.78, 174,581.90 and 37,508.54

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Solution

The fourth proportional to 116,412.78, 174,581.90 and 37,508.54 is: 56,250.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,412.78 : 174,581.90 = 37,508.54 : x
  2. Step 2: Convert to fraction form
    116,412.78/174,581.90 = 37,508.54/x
  3. Step 3: Cross multiply
    116,412.78x = 174,581.90 × 37,508.54
  4. Step 4: Simplify right side
    116,412.78x = 6,548,312,179.43
  5. Step 5: Solve for x
    x = 6,548,312,179.43/116,412.78
  6. Step 6: Final answer
    x = 56,250.80

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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.