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Finding the Fourth Proportional to 30,818.02, 46,209.49 and 9,754.02

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Solution

The fourth proportional to 30,818.02, 46,209.49 and 9,754.02 is: 14,625.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,818.02 : 46,209.49 = 9,754.02 : x
  2. Step 2: Convert to fraction form
    30,818.02/46,209.49 = 9,754.02/x
  3. Step 3: Cross multiply
    30,818.02x = 46,209.49 × 9,754.02
  4. Step 4: Simplify right side
    30,818.02x = 450,728,265.26
  5. Step 5: Solve for x
    x = 450,728,265.26/30,818.02
  6. Step 6: Final answer
    x = 14,625.48

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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.