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Finding the Fourth Proportional to 76,935, 106,170.62 and 41,607

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Solution

The fourth proportional to 76,935, 106,170.62 and 41,607 is: 57,417.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,935 : 106,170.62 = 41,607 : x
  2. Step 2: Convert to fraction form
    76,935/106,170.62 = 41,607/x
  3. Step 3: Cross multiply
    76,935x = 106,170.62 × 41,607
  4. Step 4: Simplify right side
    76,935x = 4,417,440,986.34
  5. Step 5: Solve for x
    x = 4,417,440,986.34/76,935
  6. Step 6: Final answer
    x = 57,417.83

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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.