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Finding the Fourth Proportional to 77,309.91, 116,008.74 and 32,932.04

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Solution

The fourth proportional to 77,309.91, 116,008.74 and 32,932.04 is: 49,416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,309.91 : 116,008.74 = 32,932.04 : x
  2. Step 2: Convert to fraction form
    77,309.91/116,008.74 = 32,932.04/x
  3. Step 3: Cross multiply
    77,309.91x = 116,008.74 × 32,932.04
  4. Step 4: Simplify right side
    77,309.91x = 3,820,403,885.99
  5. Step 5: Solve for x
    x = 3,820,403,885.99/77,309.91
  6. Step 6: Final answer
    x = 49,416.74

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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.