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Finding the Fourth Proportional to 30,797.24, 42,450.14 and 24,071.00

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Solution

The fourth proportional to 30,797.24, 42,450.14 and 24,071.00 is: 33,178.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,797.24 : 42,450.14 = 24,071.00 : x
  2. Step 2: Convert to fraction form
    30,797.24/42,450.14 = 24,071.00/x
  3. Step 3: Cross multiply
    30,797.24x = 42,450.14 × 24,071.00
  4. Step 4: Simplify right side
    30,797.24x = 1,021,817,167.87
  5. Step 5: Solve for x
    x = 1,021,817,167.87/30,797.24
  6. Step 6: Final answer
    x = 33,178.86

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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.