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Finding the Fourth Proportional to 77,842.76, 116,763.62 and 30,462.64

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Solution

The fourth proportional to 77,842.76, 116,763.62 and 30,462.64 is: 45,693.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,842.76 : 116,763.62 = 30,462.64 : x
  2. Step 2: Convert to fraction form
    77,842.76/116,763.62 = 30,462.64/x
  3. Step 3: Cross multiply
    77,842.76x = 116,763.62 × 30,462.64
  4. Step 4: Simplify right side
    77,842.76x = 3,556,928,121.16
  5. Step 5: Solve for x
    x = 3,556,928,121.16/77,842.76
  6. Step 6: Final answer
    x = 45,693.76

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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.