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Finding the Fourth Proportional to 52,658.88, 72,662.76 and 31,434

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Solution

The fourth proportional to 52,658.88, 72,662.76 and 31,434 is: 43,375.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,658.88 : 72,662.76 = 31,434 : x
  2. Step 2: Convert to fraction form
    52,658.88/72,662.76 = 31,434/x
  3. Step 3: Cross multiply
    52,658.88x = 72,662.76 × 31,434
  4. Step 4: Simplify right side
    52,658.88x = 2,284,081,197.84
  5. Step 5: Solve for x
    x = 2,284,081,197.84/52,658.88
  6. Step 6: Final answer
    x = 43,375.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.