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Finding the Fourth Proportional to 117,808.94, 176,712.60 and 47,687.24

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Solution

The fourth proportional to 117,808.94, 176,712.60 and 47,687.24 is: 71,530.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,808.94 : 176,712.60 = 47,687.24 : x
  2. Step 2: Convert to fraction form
    117,808.94/176,712.60 = 47,687.24/x
  3. Step 3: Cross multiply
    117,808.94x = 176,712.60 × 47,687.24
  4. Step 4: Simplify right side
    117,808.94x = 8,426,936,167.22
  5. Step 5: Solve for x
    x = 8,426,936,167.22/117,808.94
  6. Step 6: Final answer
    x = 71,530.53

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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.