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Finding the Fourth Proportional to 117,853.21, 176,801.82 and 39,022.93

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Solution

The fourth proportional to 117,853.21, 176,801.82 and 39,022.93 is: 58,541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,853.21 : 176,801.82 = 39,022.93 : x
  2. Step 2: Convert to fraction form
    117,853.21/176,801.82 = 39,022.93/x
  3. Step 3: Cross multiply
    117,853.21x = 176,801.82 × 39,022.93
  4. Step 4: Simplify right side
    117,853.21x = 6,899,325,045.73
  5. Step 5: Solve for x
    x = 6,899,325,045.73/117,853.21
  6. Step 6: Final answer
    x = 58,541.68

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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.