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Finding the Fourth Proportional to 52,633.50, 72,634.23 and 30,277.50

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Solution

The fourth proportional to 52,633.50, 72,634.23 and 30,277.50 is: 41,782.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,633.50 : 72,634.23 = 30,277.50 : x
  2. Step 2: Convert to fraction form
    52,633.50/72,634.23 = 30,277.50/x
  3. Step 3: Cross multiply
    52,633.50x = 72,634.23 × 30,277.50
  4. Step 4: Simplify right side
    52,633.50x = 2,199,182,898.83
  5. Step 5: Solve for x
    x = 2,199,182,898.83/52,633.50
  6. Step 6: Final answer
    x = 41,782.95

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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.