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Finding the Fourth Proportional to 30,782.14, 42,479.73 and 17,353.40

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Solution

The fourth proportional to 30,782.14, 42,479.73 and 17,353.40 is: 23,947.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,782.14 : 42,479.73 = 17,353.40 : x
  2. Step 2: Convert to fraction form
    30,782.14/42,479.73 = 17,353.40/x
  3. Step 3: Cross multiply
    30,782.14x = 42,479.73 × 17,353.40
  4. Step 4: Simplify right side
    30,782.14x = 737,167,746.58
  5. Step 5: Solve for x
    x = 737,167,746.58/30,782.14
  6. Step 6: Final answer
    x = 23,947.90

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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.