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Finding the Fourth Proportional to 77,842.10, 116,763.23 and 21,682.32

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Solution

The fourth proportional to 77,842.10, 116,763.23 and 21,682.32 is: 32,523.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,842.10 : 116,763.23 = 21,682.32 : x
  2. Step 2: Convert to fraction form
    77,842.10/116,763.23 = 21,682.32/x
  3. Step 3: Cross multiply
    77,842.10x = 116,763.23 × 21,682.32
  4. Step 4: Simplify right side
    77,842.10x = 2,531,697,717.09
  5. Step 5: Solve for x
    x = 2,531,697,717.09/77,842.10
  6. Step 6: Final answer
    x = 32,523.50

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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.