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Finding the Fourth Proportional to 52,675.40, 72,698.82 and 30,022.52

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Solution

The fourth proportional to 52,675.40, 72,698.82 and 30,022.52 is: 41,434.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,675.40 : 72,698.82 = 30,022.52 : x
  2. Step 2: Convert to fraction form
    52,675.40/72,698.82 = 30,022.52/x
  3. Step 3: Cross multiply
    52,675.40x = 72,698.82 × 30,022.52
  4. Step 4: Simplify right side
    52,675.40x = 2,182,601,777.43
  5. Step 5: Solve for x
    x = 2,182,601,777.43/52,675.40
  6. Step 6: Final answer
    x = 41,434.94

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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.