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Finding the Fourth Proportional to 76,937, 106,173.38 and 41,609

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Solution

The fourth proportional to 76,937, 106,173.38 and 41,609 is: 57,420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,937 : 106,173.38 = 41,609 : x
  2. Step 2: Convert to fraction form
    76,937/106,173.38 = 41,609/x
  3. Step 3: Cross multiply
    76,937x = 106,173.38 × 41,609
  4. Step 4: Simplify right side
    76,937x = 4,417,768,168.42
  5. Step 5: Solve for x
    x = 4,417,768,168.42/76,937
  6. Step 6: Final answer
    x = 57,420.59

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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.