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Finding the Fourth Proportional to 117,881.72, 176,820.85 and 29,135.23

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Solution

The fourth proportional to 117,881.72, 176,820.85 and 29,135.23 is: 43,702.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,881.72 : 176,820.85 = 29,135.23 : x
  2. Step 2: Convert to fraction form
    117,881.72/176,820.85 = 29,135.23/x
  3. Step 3: Cross multiply
    117,881.72x = 176,820.85 × 29,135.23
  4. Step 4: Simplify right side
    117,881.72x = 5,151,716,133.55
  5. Step 5: Solve for x
    x = 5,151,716,133.55/117,881.72
  6. Step 6: Final answer
    x = 43,702.42

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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.