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Finding the Fourth Proportional to 116,508, 174,747.12 and 37,614

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Solution

The fourth proportional to 116,508, 174,747.12 and 37,614 is: 56,416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,508 : 174,747.12 = 37,614 : x
  2. Step 2: Convert to fraction form
    116,508/174,747.12 = 37,614/x
  3. Step 3: Cross multiply
    116,508x = 174,747.12 × 37,614
  4. Step 4: Simplify right side
    116,508x = 6,572,938,171.68
  5. Step 5: Solve for x
    x = 6,572,938,171.68/116,508
  6. Step 6: Final answer
    x = 56,416.20

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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.