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Finding the Fourth Proportional to 117,808.21, 176,708.56 and 37,845.86

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Solution

The fourth proportional to 117,808.21, 176,708.56 and 37,845.86 is: 56,767.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,808.21 : 176,708.56 = 37,845.86 : x
  2. Step 2: Convert to fraction form
    117,808.21/176,708.56 = 37,845.86/x
  3. Step 3: Cross multiply
    117,808.21x = 176,708.56 × 37,845.86
  4. Step 4: Simplify right side
    117,808.21x = 6,687,686,626.31
  5. Step 5: Solve for x
    x = 6,687,686,626.31/117,808.21
  6. Step 6: Final answer
    x = 56,767.57

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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.