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Finding the Fourth Proportional to 116,668, 175,027.92 and 42,796

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Solution

The fourth proportional to 116,668, 175,027.92 and 42,796 is: 64,203.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,668 : 175,027.92 = 42,796 : x
  2. Step 2: Convert to fraction form
    116,668/175,027.92 = 42,796/x
  3. Step 3: Cross multiply
    116,668x = 175,027.92 × 42,796
  4. Step 4: Simplify right side
    116,668x = 7,490,494,864.32
  5. Step 5: Solve for x
    x = 7,490,494,864.32/116,668
  6. Step 6: Final answer
    x = 64,203.51

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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.