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Finding the Fourth Proportional to 30,770.49, 42,464.16 and 17,340.99

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Solution

The fourth proportional to 30,770.49, 42,464.16 and 17,340.99 is: 23,931.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,770.49 : 42,464.16 = 17,340.99 : x
  2. Step 2: Convert to fraction form
    30,770.49/42,464.16 = 17,340.99/x
  3. Step 3: Cross multiply
    30,770.49x = 42,464.16 × 17,340.99
  4. Step 4: Simplify right side
    30,770.49x = 736,370,573.92
  5. Step 5: Solve for x
    x = 736,370,573.92/30,770.49
  6. Step 6: Final answer
    x = 23,931.06

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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.