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Finding the Fourth Proportional to 117,712.80, 176,561.10 and 37,749.60

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Solution

The fourth proportional to 117,712.80, 176,561.10 and 37,749.60 is: 56,621.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,712.80 : 176,561.10 = 37,749.60 : x
  2. Step 2: Convert to fraction form
    117,712.80/176,561.10 = 37,749.60/x
  3. Step 3: Cross multiply
    117,712.80x = 176,561.10 × 37,749.60
  4. Step 4: Simplify right side
    117,712.80x = 6,665,110,900.56
  5. Step 5: Solve for x
    x = 6,665,110,900.56/117,712.80
  6. Step 6: Final answer
    x = 56,621.80

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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.