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Finding the Fourth Proportional to 25,300.49, 37,950.80 and 7,770.20

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Solution

The fourth proportional to 25,300.49, 37,950.80 and 7,770.20 is: 11,655.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,300.49 : 37,950.80 = 7,770.20 : x
  2. Step 2: Convert to fraction form
    25,300.49/37,950.80 = 7,770.20/x
  3. Step 3: Cross multiply
    25,300.49x = 37,950.80 × 7,770.20
  4. Step 4: Simplify right side
    25,300.49x = 294,885,077.56
  5. Step 5: Solve for x
    x = 294,885,077.56/25,300.49
  6. Step 6: Final answer
    x = 11,655.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.