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Finding the Fourth Proportional to 77,662.66, 116,494.14 and 21,502.96

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Solution

The fourth proportional to 77,662.66, 116,494.14 and 21,502.96 is: 32,254.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,662.66 : 116,494.14 = 21,502.96 : x
  2. Step 2: Convert to fraction form
    77,662.66/116,494.14 = 21,502.96/x
  3. Step 3: Cross multiply
    77,662.66x = 116,494.14 × 21,502.96
  4. Step 4: Simplify right side
    77,662.66x = 2,504,968,832.65
  5. Step 5: Solve for x
    x = 2,504,968,832.65/77,662.66
  6. Step 6: Final answer
    x = 32,254.48

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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.