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Finding the Fourth Proportional to 30,772.56, 42,466.14 and 17,343.84

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Solution

The fourth proportional to 30,772.56, 42,466.14 and 17,343.84 is: 23,934.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,772.56 : 42,466.14 = 17,343.84 : x
  2. Step 2: Convert to fraction form
    30,772.56/42,466.14 = 17,343.84/x
  3. Step 3: Cross multiply
    30,772.56x = 42,466.14 × 17,343.84
  4. Step 4: Simplify right side
    30,772.56x = 736,525,937.58
  5. Step 5: Solve for x
    x = 736,525,937.58/30,772.56
  6. Step 6: Final answer
    x = 23,934.50

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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.