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Finding the Fourth Proportional to 30,782.28, 42,477 and 17,356.84

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Solution

The fourth proportional to 30,782.28, 42,477 and 17,356.84 is: 23,951.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,782.28 : 42,477 = 17,356.84 : x
  2. Step 2: Convert to fraction form
    30,782.28/42,477 = 17,356.84/x
  3. Step 3: Cross multiply
    30,782.28x = 42,477 × 17,356.84
  4. Step 4: Simplify right side
    30,782.28x = 737,266,492.68
  5. Step 5: Solve for x
    x = 737,266,492.68/30,782.28
  6. Step 6: Final answer
    x = 23,951.00

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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.